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Finding the Fourth Proportional to 157,874.81, 217,870.38 and 86,259.28

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Solution

The fourth proportional to 157,874.81, 217,870.38 and 86,259.28 is: 119,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,874.81 : 217,870.38 = 86,259.28 : x
  2. Step 2: Convert to fraction form
    157,874.81/217,870.38 = 86,259.28/x
  3. Step 3: Cross multiply
    157,874.81x = 217,870.38 × 86,259.28
  4. Step 4: Simplify right side
    157,874.81x = 18,793,342,112.13
  5. Step 5: Solve for x
    x = 18,793,342,112.13/157,874.81
  6. Step 6: Final answer
    x = 119,039.52

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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.