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Finding the Fourth Proportional to 141,798.38, 195,685.88 and 78,140.28

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Solution

The fourth proportional to 141,798.38, 195,685.88 and 78,140.28 is: 107,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,798.38 : 195,685.88 = 78,140.28 : x
  2. Step 2: Convert to fraction form
    141,798.38/195,685.88 = 78,140.28/x
  3. Step 3: Cross multiply
    141,798.38x = 195,685.88 × 78,140.28
  4. Step 4: Simplify right side
    141,798.38x = 15,290,949,455.25
  5. Step 5: Solve for x
    x = 15,290,949,455.25/141,798.38
  6. Step 6: Final answer
    x = 107,835.85

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Why These Related Problems?

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