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Finding the Fourth Proportional to 255,433.50, 352,498.14 and 148,065.84

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Solution

The fourth proportional to 255,433.50, 352,498.14 and 148,065.84 is: 204,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,433.50 : 352,498.14 = 148,065.84 : x
  2. Step 2: Convert to fraction form
    255,433.50/352,498.14 = 148,065.84/x
  3. Step 3: Cross multiply
    255,433.50x = 352,498.14 × 148,065.84
  4. Step 4: Simplify right side
    255,433.50x = 52,192,933,197.54
  5. Step 5: Solve for x
    x = 52,192,933,197.54/255,433.50
  6. Step 6: Final answer
    x = 204,330.81

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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.