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Finding the Fourth Proportional to 225,568.40, 338,319.18 and 136,798.07

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Solution

The fourth proportional to 225,568.40, 338,319.18 and 136,798.07 is: 205,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,568.40 : 338,319.18 = 136,798.07 : x
  2. Step 2: Convert to fraction form
    225,568.40/338,319.18 = 136,798.07/x
  3. Step 3: Cross multiply
    225,568.40x = 338,319.18 × 136,798.07
  4. Step 4: Simplify right side
    225,568.40x = 46,281,409,176.39
  5. Step 5: Solve for x
    x = 46,281,409,176.39/225,568.40
  6. Step 6: Final answer
    x = 205,176.83

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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.