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Finding the Fourth Proportional to 221,648.28, 332,569.02 and 77,657.39

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Solution

The fourth proportional to 221,648.28, 332,569.02 and 77,657.39 is: 116,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,648.28 : 332,569.02 = 77,657.39 : x
  2. Step 2: Convert to fraction form
    221,648.28/332,569.02 = 77,657.39/x
  3. Step 3: Cross multiply
    221,648.28x = 332,569.02 × 77,657.39
  4. Step 4: Simplify right side
    221,648.28x = 25,826,442,088.06
  5. Step 5: Solve for x
    x = 25,826,442,088.06/221,648.28
  6. Step 6: Final answer
    x = 116,519.93

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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.