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Finding the Fourth Proportional to 157,839.36, 217,809.96 and 86,218.38

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Solution

The fourth proportional to 157,839.36, 217,809.96 and 86,218.38 is: 118,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,839.36 : 217,809.96 = 86,218.38 : x
  2. Step 2: Convert to fraction form
    157,839.36/217,809.96 = 86,218.38/x
  3. Step 3: Cross multiply
    157,839.36x = 217,809.96 × 86,218.38
  4. Step 4: Simplify right side
    157,839.36x = 18,779,221,899.06
  5. Step 5: Solve for x
    x = 18,779,221,899.06/157,839.36
  6. Step 6: Final answer
    x = 118,976.80

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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.