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Finding the Fourth Proportional to 224,512, 336,770.56 and 76,779.52

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Solution

The fourth proportional to 224,512, 336,770.56 and 76,779.52 is: 115,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,512 : 336,770.56 = 76,779.52 : x
  2. Step 2: Convert to fraction form
    224,512/336,770.56 = 76,779.52/x
  3. Step 3: Cross multiply
    224,512x = 336,770.56 × 76,779.52
  4. Step 4: Simplify right side
    224,512x = 25,857,081,946.93
  5. Step 5: Solve for x
    x = 25,857,081,946.93/224,512
  6. Step 6: Final answer
    x = 115,170.16

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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.