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Finding the Fourth Proportional to 188,513.74, 282,774.24 and 150,899.20

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Solution

The fourth proportional to 188,513.74, 282,774.24 and 150,899.20 is: 226,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,513.74 : 282,774.24 = 150,899.20 : x
  2. Step 2: Convert to fraction form
    188,513.74/282,774.24 = 150,899.20/x
  3. Step 3: Cross multiply
    188,513.74x = 282,774.24 × 150,899.20
  4. Step 4: Simplify right side
    188,513.74x = 42,670,406,596.61
  5. Step 5: Solve for x
    x = 42,670,406,596.61/188,513.74
  6. Step 6: Final answer
    x = 226,351.71

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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.