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Finding the Fourth Proportional to 188,031.24, 282,042.21 and 45,877.50

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Solution

The fourth proportional to 188,031.24, 282,042.21 and 45,877.50 is: 68,815.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,031.24 : 282,042.21 = 45,877.50 : x
  2. Step 2: Convert to fraction form
    188,031.24/282,042.21 = 45,877.50/x
  3. Step 3: Cross multiply
    188,031.24x = 282,042.21 × 45,877.50
  4. Step 4: Simplify right side
    188,031.24x = 12,939,391,489.28
  5. Step 5: Solve for x
    x = 12,939,391,489.28/188,031.24
  6. Step 6: Final answer
    x = 68,815.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.