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Finding the Fourth Proportional to 280,609.92, 387,235.44 and 153,286.08

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Solution

The fourth proportional to 280,609.92, 387,235.44 and 153,286.08 is: 211,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,609.92 : 387,235.44 = 153,286.08 : x
  2. Step 2: Convert to fraction form
    280,609.92/387,235.44 = 153,286.08/x
  3. Step 3: Cross multiply
    280,609.92x = 387,235.44 × 153,286.08
  4. Step 4: Simplify right side
    280,609.92x = 59,357,802,634.68
  5. Step 5: Solve for x
    x = 59,357,802,634.68/280,609.92
  6. Step 6: Final answer
    x = 211,531.38

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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.