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Finding the Fourth Proportional to 114,978.20, 172,364.70 and 44,841.20

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Solution

The fourth proportional to 114,978.20, 172,364.70 and 44,841.20 is: 67,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,978.20 : 172,364.70 = 44,841.20 : x
  2. Step 2: Convert to fraction form
    114,978.20/172,364.70 = 44,841.20/x
  3. Step 3: Cross multiply
    114,978.20x = 172,364.70 × 44,841.20
  4. Step 4: Simplify right side
    114,978.20x = 7,729,039,985.64
  5. Step 5: Solve for x
    x = 7,729,039,985.64/114,978.20
  6. Step 6: Final answer
    x = 67,221.79

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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.