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Finding the Fourth Proportional to 196,002.40, 293,701.20 and 145,847.20

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Solution

The fourth proportional to 196,002.40, 293,701.20 and 145,847.20 is: 218,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,002.40 : 293,701.20 = 145,847.20 : x
  2. Step 2: Convert to fraction form
    196,002.40/293,701.20 = 145,847.20/x
  3. Step 3: Cross multiply
    196,002.40x = 293,701.20 × 145,847.20
  4. Step 4: Simplify right side
    196,002.40x = 42,835,497,656.64
  5. Step 5: Solve for x
    x = 42,835,497,656.64/196,002.40
  6. Step 6: Final answer
    x = 218,545.78

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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.