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Finding the Fourth Proportional to 188,254.72, 282,319.44 and 75,905.92

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Solution

The fourth proportional to 188,254.72, 282,319.44 and 75,905.92 is: 113,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,254.72 : 282,319.44 = 75,905.92 : x
  2. Step 2: Convert to fraction form
    188,254.72/282,319.44 = 75,905.92/x
  3. Step 3: Cross multiply
    188,254.72x = 282,319.44 × 75,905.92
  4. Step 4: Simplify right side
    188,254.72x = 21,429,716,827.08
  5. Step 5: Solve for x
    x = 21,429,716,827.08/188,254.72
  6. Step 6: Final answer
    x = 113,833.62

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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.