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Finding the Fourth Proportional to 224,478.41, 336,779.13 and 112,022.87

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Solution

The fourth proportional to 224,478.41, 336,779.13 and 112,022.87 is: 168,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,478.41 : 336,779.13 = 112,022.87 : x
  2. Step 2: Convert to fraction form
    224,478.41/336,779.13 = 112,022.87/x
  3. Step 3: Cross multiply
    224,478.41x = 336,779.13 × 112,022.87
  4. Step 4: Simplify right side
    224,478.41x = 37,726,964,698.70
  5. Step 5: Solve for x
    x = 37,726,964,698.70/224,478.41
  6. Step 6: Final answer
    x = 168,065.00

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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.