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Finding the Fourth Proportional to 224,478.82, 336,779.74 and 112,023.28

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Solution

The fourth proportional to 224,478.82, 336,779.74 and 112,023.28 is: 168,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,478.82 : 336,779.74 = 112,023.28 : x
  2. Step 2: Convert to fraction form
    224,478.82/336,779.74 = 112,023.28/x
  3. Step 3: Cross multiply
    224,478.82x = 336,779.74 × 112,023.28
  4. Step 4: Simplify right side
    224,478.82x = 37,727,171,112.35
  5. Step 5: Solve for x
    x = 37,727,171,112.35/224,478.82
  6. Step 6: Final answer
    x = 168,065.62

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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.