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Finding the Fourth Proportional to 206,705.54, 310,090.80 and 88,377.50

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Solution

The fourth proportional to 206,705.54, 310,090.80 and 88,377.50 is: 132,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,705.54 : 310,090.80 = 88,377.50 : x
  2. Step 2: Convert to fraction form
    206,705.54/310,090.80 = 88,377.50/x
  3. Step 3: Cross multiply
    206,705.54x = 310,090.80 × 88,377.50
  4. Step 4: Simplify right side
    206,705.54x = 27,405,049,677
  5. Step 5: Solve for x
    x = 27,405,049,677/206,705.54
  6. Step 6: Final answer
    x = 132,580.14

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