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Finding the Fourth Proportional to 206,612.64, 310,068.36 and 73,494

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Solution

The fourth proportional to 206,612.64, 310,068.36 and 73,494 is: 110,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,612.64 : 310,068.36 = 73,494 : x
  2. Step 2: Convert to fraction form
    206,612.64/310,068.36 = 73,494/x
  3. Step 3: Cross multiply
    206,612.64x = 310,068.36 × 73,494
  4. Step 4: Simplify right side
    206,612.64x = 22,788,164,049.84
  5. Step 5: Solve for x
    x = 22,788,164,049.84/206,612.64
  6. Step 6: Final answer
    x = 110,294.14

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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.