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Finding the Fourth Proportional to 224,797.83, 310,217.38 and 122,821.11

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Solution

The fourth proportional to 224,797.83, 310,217.38 and 122,821.11 is: 169,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,797.83 : 310,217.38 = 122,821.11 : x
  2. Step 2: Convert to fraction form
    224,797.83/310,217.38 = 122,821.11/x
  3. Step 3: Cross multiply
    224,797.83x = 310,217.38 × 122,821.11
  4. Step 4: Simplify right side
    224,797.83x = 38,101,242,952.89
  5. Step 5: Solve for x
    x = 38,101,242,952.89/224,797.83
  6. Step 6: Final answer
    x = 169,491.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.