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Finding the Fourth Proportional to 137,141.84, 205,712.76 and 58,200.71

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Solution

The fourth proportional to 137,141.84, 205,712.76 and 58,200.71 is: 87,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,141.84 : 205,712.76 = 58,200.71 : x
  2. Step 2: Convert to fraction form
    137,141.84/205,712.76 = 58,200.71/x
  3. Step 3: Cross multiply
    137,141.84x = 205,712.76 × 58,200.71
  4. Step 4: Simplify right side
    137,141.84x = 11,972,627,659.50
  5. Step 5: Solve for x
    x = 11,972,627,659.50/137,141.84
  6. Step 6: Final answer
    x = 87,301.06

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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.