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Finding the Fourth Proportional to 280,562.60, 387,176.38 and 153,238.50

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Solution

The fourth proportional to 280,562.60, 387,176.38 and 153,238.50 is: 211,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,562.60 : 387,176.38 = 153,238.50 : x
  2. Step 2: Convert to fraction form
    280,562.60/387,176.38 = 153,238.50/x
  3. Step 3: Cross multiply
    280,562.60x = 387,176.38 × 153,238.50
  4. Step 4: Simplify right side
    280,562.60x = 59,330,325,387.65
  5. Step 5: Solve for x
    x = 59,330,325,387.65/280,562.60
  6. Step 6: Final answer
    x = 211,469.12

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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.