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Finding the Fourth Proportional to 147,390.54, 221,132.54 and 52,618.63

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Solution

The fourth proportional to 147,390.54, 221,132.54 and 52,618.63 is: 78,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,390.54 : 221,132.54 = 52,618.63 : x
  2. Step 2: Convert to fraction form
    147,390.54/221,132.54 = 52,618.63/x
  3. Step 3: Cross multiply
    147,390.54x = 221,132.54 × 52,618.63
  4. Step 4: Simplify right side
    147,390.54x = 11,635,691,148.57
  5. Step 5: Solve for x
    x = 11,635,691,148.57/147,390.54
  6. Step 6: Final answer
    x = 78,944.63

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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.