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Finding the Fourth Proportional to 195,424.80, 293,396.40 and 156,026.40

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Solution

The fourth proportional to 195,424.80, 293,396.40 and 156,026.40 is: 234,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,424.80 : 293,396.40 = 156,026.40 : x
  2. Step 2: Convert to fraction form
    195,424.80/293,396.40 = 156,026.40/x
  3. Step 3: Cross multiply
    195,424.80x = 293,396.40 × 156,026.40
  4. Step 4: Simplify right side
    195,424.80x = 45,777,584,064.96
  5. Step 5: Solve for x
    x = 45,777,584,064.96/195,424.80
  6. Step 6: Final answer
    x = 234,246.54

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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.