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Finding the Fourth Proportional to 212,104.17, 318,117.98 and 85,739.31

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Solution

The fourth proportional to 212,104.17, 318,117.98 and 85,739.31 is: 128,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,104.17 : 318,117.98 = 85,739.31 : x
  2. Step 2: Convert to fraction form
    212,104.17/318,117.98 = 85,739.31/x
  3. Step 3: Cross multiply
    212,104.17x = 318,117.98 × 85,739.31
  4. Step 4: Simplify right side
    212,104.17x = 27,275,216,318.14
  5. Step 5: Solve for x
    x = 27,275,216,318.14/212,104.17
  6. Step 6: Final answer
    x = 128,593.49

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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.