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Finding the Fourth Proportional to 206,883.84, 310,350.06 and 73,783.02

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Solution

The fourth proportional to 206,883.84, 310,350.06 and 73,783.02 is: 110,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,883.84 : 310,350.06 = 73,783.02 : x
  2. Step 2: Convert to fraction form
    206,883.84/310,350.06 = 73,783.02/x
  3. Step 3: Cross multiply
    206,883.84x = 310,350.06 × 73,783.02
  4. Step 4: Simplify right side
    206,883.84x = 22,898,564,683.98
  5. Step 5: Solve for x
    x = 22,898,564,683.98/206,883.84
  6. Step 6: Final answer
    x = 110,683.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.