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Finding the Fourth Proportional to 157,877.02, 217,863.81 and 86,259.50

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Solution

The fourth proportional to 157,877.02, 217,863.81 and 86,259.50 is: 119,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,877.02 : 217,863.81 = 86,259.50 : x
  2. Step 2: Convert to fraction form
    157,877.02/217,863.81 = 86,259.50/x
  3. Step 3: Cross multiply
    157,877.02x = 217,863.81 × 86,259.50
  4. Step 4: Simplify right side
    157,877.02x = 18,792,823,318.70
  5. Step 5: Solve for x
    x = 18,792,823,318.70/157,877.02
  6. Step 6: Final answer
    x = 119,034.57

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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.