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Finding the Fourth Proportional to 138,901.60, 191,684.16 and 75,239.40

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Solution

The fourth proportional to 138,901.60, 191,684.16 and 75,239.40 is: 103,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,901.60 : 191,684.16 = 75,239.40 : x
  2. Step 2: Convert to fraction form
    138,901.60/191,684.16 = 75,239.40/x
  3. Step 3: Cross multiply
    138,901.60x = 191,684.16 × 75,239.40
  4. Step 4: Simplify right side
    138,901.60x = 14,422,201,187.90
  5. Step 5: Solve for x
    x = 14,422,201,187.90/138,901.60
  6. Step 6: Final answer
    x = 103,830.35

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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.