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Finding the Fourth Proportional to 117,573.60, 176,101.20 and 82,322.40

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Solution

The fourth proportional to 117,573.60, 176,101.20 and 82,322.40 is: 123,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,573.60 : 176,101.20 = 82,322.40 : x
  2. Step 2: Convert to fraction form
    117,573.60/176,101.20 = 82,322.40/x
  3. Step 3: Cross multiply
    117,573.60x = 176,101.20 × 82,322.40
  4. Step 4: Simplify right side
    117,573.60x = 14,497,073,426.88
  5. Step 5: Solve for x
    x = 14,497,073,426.88/117,573.60
  6. Step 6: Final answer
    x = 123,302.11

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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.