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Finding the Fourth Proportional to 141,592.34, 195,395.94 and 77,928.77

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Solution

The fourth proportional to 141,592.34, 195,395.94 and 77,928.77 is: 107,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,592.34 : 195,395.94 = 77,928.77 : x
  2. Step 2: Convert to fraction form
    141,592.34/195,395.94 = 77,928.77/x
  3. Step 3: Cross multiply
    141,592.34x = 195,395.94 × 77,928.77
  4. Step 4: Simplify right side
    141,592.34x = 15,226,964,290.21
  5. Step 5: Solve for x
    x = 15,226,964,290.21/141,592.34
  6. Step 6: Final answer
    x = 107,540.88

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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.