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Finding the Fourth Proportional to 359,203.54, 538,785.78 and 109,885.54

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Solution

The fourth proportional to 359,203.54, 538,785.78 and 109,885.54 is: 164,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,203.54 : 538,785.78 = 109,885.54 : x
  2. Step 2: Convert to fraction form
    359,203.54/538,785.78 = 109,885.54/x
  3. Step 3: Cross multiply
    359,203.54x = 538,785.78 × 109,885.54
  4. Step 4: Simplify right side
    359,203.54x = 59,204,766,379.62
  5. Step 5: Solve for x
    x = 59,204,766,379.62/359,203.54
  6. Step 6: Final answer
    x = 164,822.34

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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.