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Finding the Fourth Proportional to 137,460.42, 206,005.95 and 58,553.46

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Solution

The fourth proportional to 137,460.42, 206,005.95 and 58,553.46 is: 87,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,460.42 : 206,005.95 = 58,553.46 : x
  2. Step 2: Convert to fraction form
    137,460.42/206,005.95 = 58,553.46/x
  3. Step 3: Cross multiply
    137,460.42x = 206,005.95 × 58,553.46
  4. Step 4: Simplify right side
    137,460.42x = 12,062,361,153.09
  5. Step 5: Solve for x
    x = 12,062,361,153.09/137,460.42
  6. Step 6: Final answer
    x = 87,751.52

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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.