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Finding the Fourth Proportional to 221,509.60, 332,264.40 and 162,023.20

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Solution

The fourth proportional to 221,509.60, 332,264.40 and 162,023.20 is: 243,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,509.60 : 332,264.40 = 162,023.20 : x
  2. Step 2: Convert to fraction form
    221,509.60/332,264.40 = 162,023.20/x
  3. Step 3: Cross multiply
    221,509.60x = 332,264.40 × 162,023.20
  4. Step 4: Simplify right side
    221,509.60x = 53,834,541,334.08
  5. Step 5: Solve for x
    x = 53,834,541,334.08/221,509.60
  6. Step 6: Final answer
    x = 243,034.80

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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.