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Finding the Fourth Proportional to 280,228.96, 386,264.10 and 189,551.80

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Solution

The fourth proportional to 280,228.96, 386,264.10 and 189,551.80 is: 261,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,228.96 : 386,264.10 = 189,551.80 : x
  2. Step 2: Convert to fraction form
    280,228.96/386,264.10 = 189,551.80/x
  3. Step 3: Cross multiply
    280,228.96x = 386,264.10 × 189,551.80
  4. Step 4: Simplify right side
    280,228.96x = 73,217,055,430.38
  5. Step 5: Solve for x
    x = 73,217,055,430.38/280,228.96
  6. Step 6: Final answer
    x = 261,275.83

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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.