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Finding the Fourth Proportional to 157,089.47, 216,776.99 and 85,469.78

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Solution

The fourth proportional to 157,089.47, 216,776.99 and 85,469.78 is: 117,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,089.47 : 216,776.99 = 85,469.78 : x
  2. Step 2: Convert to fraction form
    157,089.47/216,776.99 = 85,469.78/x
  3. Step 3: Cross multiply
    157,089.47x = 216,776.99 × 85,469.78
  4. Step 4: Simplify right side
    157,089.47x = 18,527,881,316.09
  5. Step 5: Solve for x
    x = 18,527,881,316.09/157,089.47
  6. Step 6: Final answer
    x = 117,944.77

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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.