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Finding the Fourth Proportional to 157,645.83, 217,549.45 and 86,027.07

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Solution

The fourth proportional to 157,645.83, 217,549.45 and 86,027.07 is: 118,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,645.83 : 217,549.45 = 86,027.07 : x
  2. Step 2: Convert to fraction form
    157,645.83/217,549.45 = 86,027.07/x
  3. Step 3: Cross multiply
    157,645.83x = 217,549.45 × 86,027.07
  4. Step 4: Simplify right side
    157,645.83x = 18,715,141,763.61
  5. Step 5: Solve for x
    x = 18,715,141,763.61/157,645.83
  6. Step 6: Final answer
    x = 118,716.38

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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.