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Finding the Fourth Proportional to 141,314.97, 195,012.40 and 77,651.40

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Solution

The fourth proportional to 141,314.97, 195,012.40 and 77,651.40 is: 107,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,314.97 : 195,012.40 = 77,651.40 : x
  2. Step 2: Convert to fraction form
    141,314.97/195,012.40 = 77,651.40/x
  3. Step 3: Cross multiply
    141,314.97x = 195,012.40 × 77,651.40
  4. Step 4: Simplify right side
    141,314.97x = 15,142,985,489.10
  5. Step 5: Solve for x
    x = 15,142,985,489.10/141,314.97
  6. Step 6: Final answer
    x = 107,157.69

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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.