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Finding the Fourth Proportional to 154,578.40, 232,213.20 and 148,280.80

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Solution

The fourth proportional to 154,578.40, 232,213.20 and 148,280.80 is: 222,752.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,578.40 : 232,213.20 = 148,280.80 : x
  2. Step 2: Convert to fraction form
    154,578.40/232,213.20 = 148,280.80/x
  3. Step 3: Cross multiply
    154,578.40x = 232,213.20 × 148,280.80
  4. Step 4: Simplify right side
    154,578.40x = 34,432,759,066.56
  5. Step 5: Solve for x
    x = 34,432,759,066.56/154,578.40
  6. Step 6: Final answer
    x = 222,752.72

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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.