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Finding the Fourth Proportional to 224,115.84, 309,159.72 and 143,456.58

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Solution

The fourth proportional to 224,115.84, 309,159.72 and 143,456.58 is: 197,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,115.84 : 309,159.72 = 143,456.58 : x
  2. Step 2: Convert to fraction form
    224,115.84/309,159.72 = 143,456.58/x
  3. Step 3: Cross multiply
    224,115.84x = 309,159.72 × 143,456.58
  4. Step 4: Simplify right side
    224,115.84x = 44,350,996,104.96
  5. Step 5: Solve for x
    x = 44,350,996,104.96/224,115.84
  6. Step 6: Final answer
    x = 197,893.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.