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Finding the Fourth Proportional to 188,031.50, 282,066.99 and 54,912.12

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Solution

The fourth proportional to 188,031.50, 282,066.99 and 54,912.12 is: 82,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,031.50 : 282,066.99 = 54,912.12 : x
  2. Step 2: Convert to fraction form
    188,031.50/282,066.99 = 54,912.12/x
  3. Step 3: Cross multiply
    188,031.50x = 282,066.99 × 54,912.12
  4. Step 4: Simplify right side
    188,031.50x = 15,488,896,402.92
  5. Step 5: Solve for x
    x = 15,488,896,402.92/188,031.50
  6. Step 6: Final answer
    x = 82,373.94

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1.5x scale

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.