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Finding the Fourth Proportional to 158,201.74, 218,318.76 and 86,586.38

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Solution

The fourth proportional to 158,201.74, 218,318.76 and 86,586.38 is: 119,489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,201.74 : 218,318.76 = 86,586.38 : x
  2. Step 2: Convert to fraction form
    158,201.74/218,318.76 = 86,586.38/x
  3. Step 3: Cross multiply
    158,201.74x = 218,318.76 × 86,586.38
  4. Step 4: Simplify right side
    158,201.74x = 18,903,430,841.59
  5. Step 5: Solve for x
    x = 18,903,430,841.59/158,201.74
  6. Step 6: Final answer
    x = 119,489.40

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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.