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Finding the Fourth Proportional to 195,635.40, 293,453.10 and 156,269.40

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Solution

The fourth proportional to 195,635.40, 293,453.10 and 156,269.40 is: 234,404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,635.40 : 293,453.10 = 156,269.40 : x
  2. Step 2: Convert to fraction form
    195,635.40/293,453.10 = 156,269.40/x
  3. Step 3: Cross multiply
    195,635.40x = 293,453.10 × 156,269.40
  4. Step 4: Simplify right side
    195,635.40x = 45,857,739,865.14
  5. Step 5: Solve for x
    x = 45,857,739,865.14/195,635.40
  6. Step 6: Final answer
    x = 234,404.10

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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.