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Finding the Fourth Proportional to 140,878.47, 194,412.28 and 77,214.90

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Solution

The fourth proportional to 140,878.47, 194,412.28 and 77,214.90 is: 106,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,878.47 : 194,412.28 = 77,214.90 : x
  2. Step 2: Convert to fraction form
    140,878.47/194,412.28 = 77,214.90/x
  3. Step 3: Cross multiply
    140,878.47x = 194,412.28 × 77,214.90
  4. Step 4: Simplify right side
    140,878.47x = 15,011,524,758.97
  5. Step 5: Solve for x
    x = 15,011,524,758.97/140,878.47
  6. Step 6: Final answer
    x = 106,556.56

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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.