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Finding the Fourth Proportional to 159,454.80, 238,721.40 and 97,246.80

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Solution

The fourth proportional to 159,454.80, 238,721.40 and 97,246.80 is: 145,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,454.80 : 238,721.40 = 97,246.80 : x
  2. Step 2: Convert to fraction form
    159,454.80/238,721.40 = 97,246.80/x
  3. Step 3: Cross multiply
    159,454.80x = 238,721.40 × 97,246.80
  4. Step 4: Simplify right side
    159,454.80x = 23,214,892,241.52
  5. Step 5: Solve for x
    x = 23,214,892,241.52/159,454.80
  6. Step 6: Final answer
    x = 145,589.17

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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.