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Finding the Fourth Proportional to 229,981.96, 344,948.68 and 61,519.29

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Solution

The fourth proportional to 229,981.96, 344,948.68 and 61,519.29 is: 92,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,981.96 : 344,948.68 = 61,519.29 : x
  2. Step 2: Convert to fraction form
    229,981.96/344,948.68 = 61,519.29/x
  3. Step 3: Cross multiply
    229,981.96x = 344,948.68 × 61,519.29
  4. Step 4: Simplify right side
    229,981.96x = 21,220,997,287.50
  5. Step 5: Solve for x
    x = 21,220,997,287.50/229,981.96
  6. Step 6: Final answer
    x = 92,272.44

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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.