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Finding the Fourth Proportional to 157,809.59, 217,773.86 and 86,189.89

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Solution

The fourth proportional to 157,809.59, 217,773.86 and 86,189.89 is: 118,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,809.59 : 217,773.86 = 86,189.89 : x
  2. Step 2: Convert to fraction form
    157,809.59/217,773.86 = 86,189.89/x
  3. Step 3: Cross multiply
    157,809.59x = 217,773.86 × 86,189.89
  4. Step 4: Simplify right side
    157,809.59x = 18,769,905,038.28
  5. Step 5: Solve for x
    x = 18,769,905,038.28/157,809.59
  6. Step 6: Final answer
    x = 118,940.21

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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.