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Finding the Fourth Proportional to 224,111.20, 336,166.80 and 81,956.20

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Solution

The fourth proportional to 224,111.20, 336,166.80 and 81,956.20 is: 122,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,111.20 : 336,166.80 = 81,956.20 : x
  2. Step 2: Convert to fraction form
    224,111.20/336,166.80 = 81,956.20/x
  3. Step 3: Cross multiply
    224,111.20x = 336,166.80 × 81,956.20
  4. Step 4: Simplify right side
    224,111.20x = 27,550,953,494.16
  5. Step 5: Solve for x
    x = 27,550,953,494.16/224,111.20
  6. Step 6: Final answer
    x = 122,934.30

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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.