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Finding the Fourth Proportional to 337,206.86, 506,059.66 and 159,714.18

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Solution

The fourth proportional to 337,206.86, 506,059.66 and 159,714.18 is: 239,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,206.86 : 506,059.66 = 159,714.18 : x
  2. Step 2: Convert to fraction form
    337,206.86/506,059.66 = 159,714.18/x
  3. Step 3: Cross multiply
    337,206.86x = 506,059.66 × 159,714.18
  4. Step 4: Simplify right side
    337,206.86x = 80,824,903,627.98
  5. Step 5: Solve for x
    x = 80,824,903,627.98/337,206.86
  6. Step 6: Final answer
    x = 239,689.38

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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.