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Finding the Fourth Proportional to 100,978.80, 151,468.20 and 41,929.80

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Solution

The fourth proportional to 100,978.80, 151,468.20 and 41,929.80 is: 62,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,978.80 : 151,468.20 = 41,929.80 : x
  2. Step 2: Convert to fraction form
    100,978.80/151,468.20 = 41,929.80/x
  3. Step 3: Cross multiply
    100,978.80x = 151,468.20 × 41,929.80
  4. Step 4: Simplify right side
    100,978.80x = 6,351,031,332.36
  5. Step 5: Solve for x
    x = 6,351,031,332.36/100,978.80
  6. Step 6: Final answer
    x = 62,894.70

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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.