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Finding the Fourth Proportional to 206,838.77, 285,189.17 and 149,386.28

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Solution

The fourth proportional to 206,838.77, 285,189.17 and 149,386.28 is: 205,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,838.77 : 285,189.17 = 149,386.28 : x
  2. Step 2: Convert to fraction form
    206,838.77/285,189.17 = 149,386.28/x
  3. Step 3: Cross multiply
    206,838.77x = 285,189.17 × 149,386.28
  4. Step 4: Simplify right side
    206,838.77x = 42,603,347,029.71
  5. Step 5: Solve for x
    x = 42,603,347,029.71/206,838.77
  6. Step 6: Final answer
    x = 205,973.71

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1.5x scale

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.