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Finding the Fourth Proportional to 99,800.76, 137,721.62 and 59,493.74

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Solution

The fourth proportional to 99,800.76, 137,721.62 and 59,493.74 is: 82,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,800.76 : 137,721.62 = 59,493.74 : x
  2. Step 2: Convert to fraction form
    99,800.76/137,721.62 = 59,493.74/x
  3. Step 3: Cross multiply
    99,800.76x = 137,721.62 × 59,493.74
  4. Step 4: Simplify right side
    99,800.76x = 8,193,574,252.66
  5. Step 5: Solve for x
    x = 8,193,574,252.66/99,800.76
  6. Step 6: Final answer
    x = 82,099.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.