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Finding the Fourth Proportional to 174,139.43, 260,873.80 and 147,778.79

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Solution

The fourth proportional to 174,139.43, 260,873.80 and 147,778.79 is: 221,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,139.43 : 260,873.80 = 147,778.79 : x
  2. Step 2: Convert to fraction form
    174,139.43/260,873.80 = 147,778.79/x
  3. Step 3: Cross multiply
    174,139.43x = 260,873.80 × 147,778.79
  4. Step 4: Simplify right side
    174,139.43x = 38,551,612,832.89
  5. Step 5: Solve for x
    x = 38,551,612,832.89/174,139.43
  6. Step 6: Final answer
    x = 221,383.60

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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.