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Finding the Fourth Proportional to 206,830.74, 310,169.55 and 73,675.65

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Solution

The fourth proportional to 206,830.74, 310,169.55 and 73,675.65 is: 110,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,830.74 : 310,169.55 = 73,675.65 : x
  2. Step 2: Convert to fraction form
    206,830.74/310,169.55 = 73,675.65/x
  3. Step 3: Cross multiply
    206,830.74x = 310,169.55 × 73,675.65
  4. Step 4: Simplify right side
    206,830.74x = 22,851,943,206.46
  5. Step 5: Solve for x
    x = 22,851,943,206.46/206,830.74
  6. Step 6: Final answer
    x = 110,486.20

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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.