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Finding the Fourth Proportional to 225,707.61, 338,455.29 and 83,454.60

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Solution

The fourth proportional to 225,707.61, 338,455.29 and 83,454.60 is: 125,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,707.61 : 338,455.29 = 83,454.60 : x
  2. Step 2: Convert to fraction form
    225,707.61/338,455.29 = 83,454.60/x
  3. Step 3: Cross multiply
    225,707.61x = 338,455.29 × 83,454.60
  4. Step 4: Simplify right side
    225,707.61x = 28,245,650,844.83
  5. Step 5: Solve for x
    x = 28,245,650,844.83/225,707.61
  6. Step 6: Final answer
    x = 125,142.66

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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.