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Finding the Fourth Proportional to 275,268.60, 412,805.70 and 97,781.40

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Solution

The fourth proportional to 275,268.60, 412,805.70 and 97,781.40 is: 146,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,268.60 : 412,805.70 = 97,781.40 : x
  2. Step 2: Convert to fraction form
    275,268.60/412,805.70 = 97,781.40/x
  3. Step 3: Cross multiply
    275,268.60x = 412,805.70 × 97,781.40
  4. Step 4: Simplify right side
    275,268.60x = 40,364,719,273.98
  5. Step 5: Solve for x
    x = 40,364,719,273.98/275,268.60
  6. Step 6: Final answer
    x = 146,637.57

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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.