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Finding the Fourth Proportional to 229,663.76, 344,418.99 and 96,519.20

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Solution

The fourth proportional to 229,663.76, 344,418.99 and 96,519.20 is: 144,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,663.76 : 344,418.99 = 96,519.20 : x
  2. Step 2: Convert to fraction form
    229,663.76/344,418.99 = 96,519.20/x
  3. Step 3: Cross multiply
    229,663.76x = 344,418.99 × 96,519.20
  4. Step 4: Simplify right side
    229,663.76x = 33,243,045,379.61
  5. Step 5: Solve for x
    x = 33,243,045,379.61/229,663.76
  6. Step 6: Final answer
    x = 144,746.59

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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.