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Finding the Fourth Proportional to 227,854.14, 314,454.52 and 132,390.78

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Solution

The fourth proportional to 227,854.14, 314,454.52 and 132,390.78 is: 182,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,854.14 : 314,454.52 = 132,390.78 : x
  2. Step 2: Convert to fraction form
    227,854.14/314,454.52 = 132,390.78/x
  3. Step 3: Cross multiply
    227,854.14x = 314,454.52 × 132,390.78
  4. Step 4: Simplify right side
    227,854.14x = 41,630,879,177.33
  5. Step 5: Solve for x
    x = 41,630,879,177.33/227,854.14
  6. Step 6: Final answer
    x = 182,708.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.