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Finding the Fourth Proportional to 206,654.54, 310,014.21 and 88,326.50

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Solution

The fourth proportional to 206,654.54, 310,014.21 and 88,326.50 is: 132,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,654.54 : 310,014.21 = 88,326.50 : x
  2. Step 2: Convert to fraction form
    206,654.54/310,014.21 = 88,326.50/x
  3. Step 3: Cross multiply
    206,654.54x = 310,014.21 × 88,326.50
  4. Step 4: Simplify right side
    206,654.54x = 27,382,470,119.57
  5. Step 5: Solve for x
    x = 27,382,470,119.57/206,654.54
  6. Step 6: Final answer
    x = 132,503.60

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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.