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Finding the Fourth Proportional to 141,320.34, 195,023.16 and 77,659.20

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Solution

The fourth proportional to 141,320.34, 195,023.16 and 77,659.20 is: 107,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,320.34 : 195,023.16 = 77,659.20 : x
  2. Step 2: Convert to fraction form
    141,320.34/195,023.16 = 77,659.20/x
  3. Step 3: Cross multiply
    141,320.34x = 195,023.16 × 77,659.20
  4. Step 4: Simplify right side
    141,320.34x = 15,145,342,587.07
  5. Step 5: Solve for x
    x = 15,145,342,587.07/141,320.34
  6. Step 6: Final answer
    x = 107,170.30

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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.