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Finding the Fourth Proportional to 363,799.92, 545,696.04 and 142,182

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Solution

The fourth proportional to 363,799.92, 545,696.04 and 142,182 is: 213,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,799.92 : 545,696.04 = 142,182 : x
  2. Step 2: Convert to fraction form
    363,799.92/545,696.04 = 142,182/x
  3. Step 3: Cross multiply
    363,799.92x = 545,696.04 × 142,182
  4. Step 4: Simplify right side
    363,799.92x = 77,588,154,359.28
  5. Step 5: Solve for x
    x = 77,588,154,359.28/363,799.92
  6. Step 6: Final answer
    x = 213,271.50

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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.