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Finding the Fourth Proportional to 137,142.59, 205,713.89 and 58,201.46

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Solution

The fourth proportional to 137,142.59, 205,713.89 and 58,201.46 is: 87,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,142.59 : 205,713.89 = 58,201.46 : x
  2. Step 2: Convert to fraction form
    137,142.59/205,713.89 = 58,201.46/x
  3. Step 3: Cross multiply
    137,142.59x = 205,713.89 × 58,201.46
  4. Step 4: Simplify right side
    137,142.59x = 11,972,848,740.28
  5. Step 5: Solve for x
    x = 11,972,848,740.28/137,142.59
  6. Step 6: Final answer
    x = 87,302.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.