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Finding the Fourth Proportional to 229,876.74, 344,800.80 and 110,018.82

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Solution

The fourth proportional to 229,876.74, 344,800.80 and 110,018.82 is: 165,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,876.74 : 344,800.80 = 110,018.82 : x
  2. Step 2: Convert to fraction form
    229,876.74/344,800.80 = 110,018.82/x
  3. Step 3: Cross multiply
    229,876.74x = 344,800.80 × 110,018.82
  4. Step 4: Simplify right side
    229,876.74x = 37,934,577,151.06
  5. Step 5: Solve for x
    x = 37,934,577,151.06/229,876.74
  6. Step 6: Final answer
    x = 165,021.38

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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.