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Finding the Fourth Proportional to 224,516.64, 336,675.84 and 84,176.88

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Solution

The fourth proportional to 224,516.64, 336,675.84 and 84,176.88 is: 126,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,516.64 : 336,675.84 = 84,176.88 : x
  2. Step 2: Convert to fraction form
    224,516.64/336,675.84 = 84,176.88/x
  3. Step 3: Cross multiply
    224,516.64x = 336,675.84 × 84,176.88
  4. Step 4: Simplify right side
    224,516.64x = 28,340,321,782.58
  5. Step 5: Solve for x
    x = 28,340,321,782.58/224,516.64
  6. Step 6: Final answer
    x = 126,228.16

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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.