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Finding the Fourth Proportional to 206,949.74, 310,641.78 and 183,407.90

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Solution

The fourth proportional to 206,949.74, 310,641.78 and 183,407.90 is: 275,304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,949.74 : 310,641.78 = 183,407.90 : x
  2. Step 2: Convert to fraction form
    206,949.74/310,641.78 = 183,407.90/x
  3. Step 3: Cross multiply
    206,949.74x = 310,641.78 × 183,407.90
  4. Step 4: Simplify right side
    206,949.74x = 56,974,155,656.63
  5. Step 5: Solve for x
    x = 56,974,155,656.63/206,949.74
  6. Step 6: Final answer
    x = 275,304.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.