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Finding the Fourth Proportional to 188,191.82, 282,072.98 and 75,800.07

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Solution

The fourth proportional to 188,191.82, 282,072.98 and 75,800.07 is: 113,613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,191.82 : 282,072.98 = 75,800.07 : x
  2. Step 2: Convert to fraction form
    188,191.82/282,072.98 = 75,800.07/x
  3. Step 3: Cross multiply
    188,191.82x = 282,072.98 × 75,800.07
  4. Step 4: Simplify right side
    188,191.82x = 21,381,151,818.61
  5. Step 5: Solve for x
    x = 21,381,151,818.61/188,191.82
  6. Step 6: Final answer
    x = 113,613.61

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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.