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Finding the Fourth Proportional to 141,406.76, 195,138.69 and 77,743.19

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Solution

The fourth proportional to 141,406.76, 195,138.69 and 77,743.19 is: 107,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,406.76 : 195,138.69 = 77,743.19 : x
  2. Step 2: Convert to fraction form
    141,406.76/195,138.69 = 77,743.19/x
  3. Step 3: Cross multiply
    141,406.76x = 195,138.69 × 77,743.19
  4. Step 4: Simplify right side
    141,406.76x = 15,170,703,277.33
  5. Step 5: Solve for x
    x = 15,170,703,277.33/141,406.76
  6. Step 6: Final answer
    x = 107,284.15

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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.