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Finding the Fourth Proportional to 265,924.35, 398,960.33 and 147,678.73

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Solution

The fourth proportional to 265,924.35, 398,960.33 and 147,678.73 is: 221,559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,924.35 : 398,960.33 = 147,678.73 : x
  2. Step 2: Convert to fraction form
    265,924.35/398,960.33 = 147,678.73/x
  3. Step 3: Cross multiply
    265,924.35x = 398,960.33 × 147,678.73
  4. Step 4: Simplify right side
    265,924.35x = 58,917,953,949.68
  5. Step 5: Solve for x
    x = 58,917,953,949.68/265,924.35
  6. Step 6: Final answer
    x = 221,559.08

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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.