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Finding the Fourth Proportional to 157,812.59, 217,778 and 86,192.89

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Solution

The fourth proportional to 157,812.59, 217,778 and 86,192.89 is: 118,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,812.59 : 217,778 = 86,192.89 : x
  2. Step 2: Convert to fraction form
    157,812.59/217,778 = 86,192.89/x
  3. Step 3: Cross multiply
    157,812.59x = 217,778 × 86,192.89
  4. Step 4: Simplify right side
    157,812.59x = 18,770,915,198.42
  5. Step 5: Solve for x
    x = 18,770,915,198.42/157,812.59
  6. Step 6: Final answer
    x = 118,944.35

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1.5x scale

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.