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Finding the Fourth Proportional to 159,688.72, 239,034.86 and 117,616.31

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Solution

The fourth proportional to 159,688.72, 239,034.86 and 117,616.31 is: 176,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,688.72 : 239,034.86 = 117,616.31 : x
  2. Step 2: Convert to fraction form
    159,688.72/239,034.86 = 117,616.31/x
  3. Step 3: Cross multiply
    159,688.72x = 239,034.86 × 117,616.31
  4. Step 4: Simplify right side
    159,688.72x = 28,114,398,194.57
  5. Step 5: Solve for x
    x = 28,114,398,194.57/159,688.72
  6. Step 6: Final answer
    x = 176,057.51

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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.