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Finding the Fourth Proportional to 157,776.80, 217,733.17 and 89,798.95

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Solution

The fourth proportional to 157,776.80, 217,733.17 and 89,798.95 is: 123,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,776.80 : 217,733.17 = 89,798.95 : x
  2. Step 2: Convert to fraction form
    157,776.80/217,733.17 = 89,798.95/x
  3. Step 3: Cross multiply
    157,776.80x = 217,733.17 × 89,798.95
  4. Step 4: Simplify right side
    157,776.80x = 19,552,210,046.17
  5. Step 5: Solve for x
    x = 19,552,210,046.17/157,776.80
  6. Step 6: Final answer
    x = 123,923.23

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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.