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Finding the Fourth Proportional to 334,085.10, 501,127.65 and 156,938.10

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Solution

The fourth proportional to 334,085.10, 501,127.65 and 156,938.10 is: 235,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,085.10 : 501,127.65 = 156,938.10 : x
  2. Step 2: Convert to fraction form
    334,085.10/501,127.65 = 156,938.10/x
  3. Step 3: Cross multiply
    334,085.10x = 501,127.65 × 156,938.10
  4. Step 4: Simplify right side
    334,085.10x = 78,646,021,248.47
  5. Step 5: Solve for x
    x = 78,646,021,248.47/334,085.10
  6. Step 6: Final answer
    x = 235,407.15

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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.