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Finding the Fourth Proportional to 141,446.76, 195,191.10 and 77,780.76

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Solution

The fourth proportional to 141,446.76, 195,191.10 and 77,780.76 is: 107,334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,446.76 : 195,191.10 = 77,780.76 : x
  2. Step 2: Convert to fraction form
    141,446.76/195,191.10 = 77,780.76/x
  3. Step 3: Cross multiply
    141,446.76x = 195,191.10 × 77,780.76
  4. Step 4: Simplify right side
    141,446.76x = 15,182,112,103.24
  5. Step 5: Solve for x
    x = 15,182,112,103.24/141,446.76
  6. Step 6: Final answer
    x = 107,334.46

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1.5x scale

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.