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Finding the Fourth Proportional to 221,823.76, 332,866.68 and 116,650.84

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Solution

The fourth proportional to 221,823.76, 332,866.68 and 116,650.84 is: 175,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,823.76 : 332,866.68 = 116,650.84 : x
  2. Step 2: Convert to fraction form
    221,823.76/332,866.68 = 116,650.84/x
  3. Step 3: Cross multiply
    221,823.76x = 332,866.68 × 116,650.84
  4. Step 4: Simplify right side
    221,823.76x = 38,829,177,830.01
  5. Step 5: Solve for x
    x = 38,829,177,830.01/221,823.76
  6. Step 6: Final answer
    x = 175,045.17

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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.