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Finding the Fourth Proportional to 229,775.48, 344,663.34 and 105,029

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Solution

The fourth proportional to 229,775.48, 344,663.34 and 105,029 is: 157,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,775.48 : 344,663.34 = 105,029 : x
  2. Step 2: Convert to fraction form
    229,775.48/344,663.34 = 105,029/x
  3. Step 3: Cross multiply
    229,775.48x = 344,663.34 × 105,029
  4. Step 4: Simplify right side
    229,775.48x = 36,199,645,936.86
  5. Step 5: Solve for x
    x = 36,199,645,936.86/229,775.48
  6. Step 6: Final answer
    x = 157,543.55

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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.