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Finding the Fourth Proportional to 273,062.85, 409,594.56 and 147,501.46

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Solution

The fourth proportional to 273,062.85, 409,594.56 and 147,501.46 is: 221,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,062.85 : 409,594.56 = 147,501.46 : x
  2. Step 2: Convert to fraction form
    273,062.85/409,594.56 = 147,501.46/x
  3. Step 3: Cross multiply
    273,062.85x = 409,594.56 × 147,501.46
  4. Step 4: Simplify right side
    273,062.85x = 60,415,793,560.08
  5. Step 5: Solve for x
    x = 60,415,793,560.08/273,062.85
  6. Step 6: Final answer
    x = 221,252.34

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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.