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Finding the Fourth Proportional to 158,386.38, 218,490.39 and 97,937.70

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Solution

The fourth proportional to 158,386.38, 218,490.39 and 97,937.70 is: 135,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,386.38 : 218,490.39 = 97,937.70 : x
  2. Step 2: Convert to fraction form
    158,386.38/218,490.39 = 97,937.70/x
  3. Step 3: Cross multiply
    158,386.38x = 218,490.39 × 97,937.70
  4. Step 4: Simplify right side
    158,386.38x = 21,398,446,268.70
  5. Step 5: Solve for x
    x = 21,398,446,268.70/158,386.38
  6. Step 6: Final answer
    x = 135,102.82

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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.