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Finding the Fourth Proportional to 129,386.57, 194,078.03 and 40,645.40

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Solution

The fourth proportional to 129,386.57, 194,078.03 and 40,645.40 is: 60,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,386.57 : 194,078.03 = 40,645.40 : x
  2. Step 2: Convert to fraction form
    129,386.57/194,078.03 = 40,645.40/x
  3. Step 3: Cross multiply
    129,386.57x = 194,078.03 × 40,645.40
  4. Step 4: Simplify right side
    129,386.57x = 7,888,377,986.94
  5. Step 5: Solve for x
    x = 7,888,377,986.94/129,386.57
  6. Step 6: Final answer
    x = 60,967.52

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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.