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Finding the Fourth Proportional to 141,392, 195,125.52 and 77,734.40

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Solution

The fourth proportional to 141,392, 195,125.52 and 77,734.40 is: 107,275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,392 : 195,125.52 = 77,734.40 : x
  2. Step 2: Convert to fraction form
    141,392/195,125.52 = 77,734.40/x
  3. Step 3: Cross multiply
    141,392x = 195,125.52 × 77,734.40
  4. Step 4: Simplify right side
    141,392x = 15,167,965,221.89
  5. Step 5: Solve for x
    x = 15,167,965,221.89/141,392
  6. Step 6: Final answer
    x = 107,275.98

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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.