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Finding the Fourth Proportional to 99,420.68, 137,251.36 and 76,708.64

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Solution

The fourth proportional to 99,420.68, 137,251.36 and 76,708.64 is: 105,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,420.68 : 137,251.36 = 76,708.64 : x
  2. Step 2: Convert to fraction form
    99,420.68/137,251.36 = 76,708.64/x
  3. Step 3: Cross multiply
    99,420.68x = 137,251.36 × 76,708.64
  4. Step 4: Simplify right side
    99,420.68x = 10,528,365,163.75
  5. Step 5: Solve for x
    x = 10,528,365,163.75/99,420.68
  6. Step 6: Final answer
    x = 105,897.13

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