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Finding the Fourth Proportional to 123,419.14, 185,128.74 and 29,924.88

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Solution

The fourth proportional to 123,419.14, 185,128.74 and 29,924.88 is: 44,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,419.14 : 185,128.74 = 29,924.88 : x
  2. Step 2: Convert to fraction form
    123,419.14/185,128.74 = 29,924.88/x
  3. Step 3: Cross multiply
    123,419.14x = 185,128.74 × 29,924.88
  4. Step 4: Simplify right side
    123,419.14x = 5,539,955,329.05
  5. Step 5: Solve for x
    x = 5,539,955,329.05/123,419.14
  6. Step 6: Final answer
    x = 44,887.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.