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Finding the Fourth Proportional to 206,405,164.32, 284,839,173.03 and 113,585,672.06

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Solution

The fourth proportional to 206,405,164.32, 284,839,173.03 and 113,585,672.06 is: 156,748,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,405,164.32 : 284,839,173.03 = 113,585,672.06 : x
  2. Step 2: Convert to fraction form
    206,405,164.32/284,839,173.03 = 113,585,672.06/x
  3. Step 3: Cross multiply
    206,405,164.32x = 284,839,173.03 × 113,585,672.06
  4. Step 4: Simplify right side
    206,405,164.32x = 32,353,648,896,202,980
  5. Step 5: Solve for x
    x = 32,353,648,896,202,980/206,405,164.32
  6. Step 6: Final answer
    x = 156,748,252.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.