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Finding the Fourth Proportional to 101,449.78, 152,045.26 and 48,141.66

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Solution

The fourth proportional to 101,449.78, 152,045.26 and 48,141.66 is: 72,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,449.78 : 152,045.26 = 48,141.66 : x
  2. Step 2: Convert to fraction form
    101,449.78/152,045.26 = 48,141.66/x
  3. Step 3: Cross multiply
    101,449.78x = 152,045.26 × 48,141.66
  4. Step 4: Simplify right side
    101,449.78x = 7,319,711,211.53
  5. Step 5: Solve for x
    x = 7,319,711,211.53/101,449.78
  6. Step 6: Final answer
    x = 72,151.08

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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.