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Finding the Fourth Proportional to 206,228.76, 284,643.90 and 134,483.82

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Solution

The fourth proportional to 206,228.76, 284,643.90 and 134,483.82 is: 185,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,228.76 : 284,643.90 = 134,483.82 : x
  2. Step 2: Convert to fraction form
    206,228.76/284,643.90 = 134,483.82/x
  3. Step 3: Cross multiply
    206,228.76x = 284,643.90 × 134,483.82
  4. Step 4: Simplify right side
    206,228.76x = 38,279,999,011.70
  5. Step 5: Solve for x
    x = 38,279,999,011.70/206,228.76
  6. Step 6: Final answer
    x = 185,619.11

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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.