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Finding the Fourth Proportional to 295,263.12, 442,680.12 and 117,716.88

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Solution

The fourth proportional to 295,263.12, 442,680.12 and 117,716.88 is: 176,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,263.12 : 442,680.12 = 117,716.88 : x
  2. Step 2: Convert to fraction form
    295,263.12/442,680.12 = 117,716.88/x
  3. Step 3: Cross multiply
    295,263.12x = 442,680.12 × 117,716.88
  4. Step 4: Simplify right side
    295,263.12x = 52,110,922,564.43
  5. Step 5: Solve for x
    x = 52,110,922,564.43/295,263.12
  6. Step 6: Final answer
    x = 176,489.78

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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.