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Finding the Fourth Proportional to 130,067.60, 195,101.40 and 83,411.60

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Solution

The fourth proportional to 130,067.60, 195,101.40 and 83,411.60 is: 125,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,067.60 : 195,101.40 = 83,411.60 : x
  2. Step 2: Convert to fraction form
    130,067.60/195,101.40 = 83,411.60/x
  3. Step 3: Cross multiply
    130,067.60x = 195,101.40 × 83,411.60
  4. Step 4: Simplify right side
    130,067.60x = 16,273,719,936.24
  5. Step 5: Solve for x
    x = 16,273,719,936.24/130,067.60
  6. Step 6: Final answer
    x = 125,117.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.