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Finding the Fourth Proportional to 141,597.73, 195,400.78 and 77,934.16

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Solution

The fourth proportional to 141,597.73, 195,400.78 and 77,934.16 is: 107,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,597.73 : 195,400.78 = 77,934.16 : x
  2. Step 2: Convert to fraction form
    141,597.73/195,400.78 = 77,934.16/x
  3. Step 3: Cross multiply
    141,597.73x = 195,400.78 × 77,934.16
  4. Step 4: Simplify right side
    141,597.73x = 15,228,395,652.64
  5. Step 5: Solve for x
    x = 15,228,395,652.64/141,597.73
  6. Step 6: Final answer
    x = 107,546.89

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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.