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Finding the Fourth Proportional to 149,159.68, 223,686.24 and 49,301.44

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Solution

The fourth proportional to 149,159.68, 223,686.24 and 49,301.44 is: 73,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,159.68 : 223,686.24 = 49,301.44 : x
  2. Step 2: Convert to fraction form
    149,159.68/223,686.24 = 49,301.44/x
  3. Step 3: Cross multiply
    149,159.68x = 223,686.24 × 49,301.44
  4. Step 4: Simplify right side
    149,159.68x = 11,028,053,740.19
  5. Step 5: Solve for x
    x = 11,028,053,740.19/149,159.68
  6. Step 6: Final answer
    x = 73,934.55

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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.