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Finding the Fourth Proportional to 138,829.68, 191,564.28 and 78,399.12

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Solution

The fourth proportional to 138,829.68, 191,564.28 and 78,399.12 is: 108,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,829.68 : 191,564.28 = 78,399.12 : x
  2. Step 2: Convert to fraction form
    138,829.68/191,564.28 = 78,399.12/x
  3. Step 3: Cross multiply
    138,829.68x = 191,564.28 × 78,399.12
  4. Step 4: Simplify right side
    138,829.68x = 15,018,470,975.43
  5. Step 5: Solve for x
    x = 15,018,470,975.43/138,829.68
  6. Step 6: Final answer
    x = 108,179.11

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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.