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Finding the Fourth Proportional to 141,412.68, 195,144.48 and 77,750

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Solution

The fourth proportional to 141,412.68, 195,144.48 and 77,750 is: 107,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,412.68 : 195,144.48 = 77,750 : x
  2. Step 2: Convert to fraction form
    141,412.68/195,144.48 = 77,750/x
  3. Step 3: Cross multiply
    141,412.68x = 195,144.48 × 77,750
  4. Step 4: Simplify right side
    141,412.68x = 15,172,483,320
  5. Step 5: Solve for x
    x = 15,172,483,320/141,412.68
  6. Step 6: Final answer
    x = 107,292.24

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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.