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Finding the Fourth Proportional to 334,113.10, 501,169.65 and 156,966.10

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Solution

The fourth proportional to 334,113.10, 501,169.65 and 156,966.10 is: 235,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,113.10 : 501,169.65 = 156,966.10 : x
  2. Step 2: Convert to fraction form
    334,113.10/501,169.65 = 156,966.10/x
  3. Step 3: Cross multiply
    334,113.10x = 501,169.65 × 156,966.10
  4. Step 4: Simplify right side
    334,113.10x = 78,666,645,398.87
  5. Step 5: Solve for x
    x = 78,666,645,398.87/334,113.10
  6. Step 6: Final answer
    x = 235,449.15

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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.