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Finding the Fourth Proportional to 123,460.68, 185,189.66 and 29,966.42

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Solution

The fourth proportional to 123,460.68, 185,189.66 and 29,966.42 is: 44,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,460.68 : 185,189.66 = 29,966.42 : x
  2. Step 2: Convert to fraction form
    123,460.68/185,189.66 = 29,966.42/x
  3. Step 3: Cross multiply
    123,460.68x = 185,189.66 × 29,966.42
  4. Step 4: Simplify right side
    123,460.68x = 5,549,471,131.22
  5. Step 5: Solve for x
    x = 5,549,471,131.22/123,460.68
  6. Step 6: Final answer
    x = 44,949.30

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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.