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Finding the Fourth Proportional to 157,877.52, 217,864.50 and 86,260

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Solution

The fourth proportional to 157,877.52, 217,864.50 and 86,260 is: 119,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,877.52 : 217,864.50 = 86,260 : x
  2. Step 2: Convert to fraction form
    157,877.52/217,864.50 = 86,260/x
  3. Step 3: Cross multiply
    157,877.52x = 217,864.50 × 86,260
  4. Step 4: Simplify right side
    157,877.52x = 18,792,991,770
  5. Step 5: Solve for x
    x = 18,792,991,770/157,877.52
  6. Step 6: Final answer
    x = 119,035.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.