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Finding the Fourth Proportional to 142,646.64, 196,854.78 and 78,114.84

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Solution

The fourth proportional to 142,646.64, 196,854.78 and 78,114.84 is: 107,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,646.64 : 196,854.78 = 78,114.84 : x
  2. Step 2: Convert to fraction form
    142,646.64/196,854.78 = 78,114.84/x
  3. Step 3: Cross multiply
    142,646.64x = 196,854.78 × 78,114.84
  4. Step 4: Simplify right side
    142,646.64x = 15,377,279,642.94
  5. Step 5: Solve for x
    x = 15,377,279,642.94/142,646.64
  6. Step 6: Final answer
    x = 107,799.80

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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.