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Finding the Fourth Proportional to 157,772.34, 217,729.62 and 86,151.74

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Solution

The fourth proportional to 157,772.34, 217,729.62 and 86,151.74 is: 118,891.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,772.34 : 217,729.62 = 86,151.74 : x
  2. Step 2: Convert to fraction form
    157,772.34/217,729.62 = 86,151.74/x
  3. Step 3: Cross multiply
    157,772.34x = 217,729.62 × 86,151.74
  4. Step 4: Simplify right side
    157,772.34x = 18,757,784,523.89
  5. Step 5: Solve for x
    x = 18,757,784,523.89/157,772.34
  6. Step 6: Final answer
    x = 118,891.46

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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.