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Finding the Fourth Proportional to 230,147.83, 343,668.95 and 188,112.48

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Solution

The fourth proportional to 230,147.83, 343,668.95 and 188,112.48 is: 280,899.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,147.83 : 343,668.95 = 188,112.48 : x
  2. Step 2: Convert to fraction form
    230,147.83/343,668.95 = 188,112.48/x
  3. Step 3: Cross multiply
    230,147.83x = 343,668.95 × 188,112.48
  4. Step 4: Simplify right side
    230,147.83x = 64,648,417,488.66
  5. Step 5: Solve for x
    x = 64,648,417,488.66/230,147.83
  6. Step 6: Final answer
    x = 280,899.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.