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Finding the Fourth Proportional to 280,469.57, 387,047.99 and 153,145.27

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Solution

The fourth proportional to 280,469.57, 387,047.99 and 153,145.27 is: 211,340.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,469.57 : 387,047.99 = 153,145.27 : x
  2. Step 2: Convert to fraction form
    280,469.57/387,047.99 = 153,145.27/x
  3. Step 3: Cross multiply
    280,469.57x = 387,047.99 × 153,145.27
  4. Step 4: Simplify right side
    280,469.57x = 59,274,566,230.54
  5. Step 5: Solve for x
    x = 59,274,566,230.54/280,469.57
  6. Step 6: Final answer
    x = 211,340.45

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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.