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Finding the Fourth Proportional to 154,809.20, 232,213.80 and 154,809.20

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Solution

The fourth proportional to 154,809.20, 232,213.80 and 154,809.20 is: 232,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,809.20 : 232,213.80 = 154,809.20 : x
  2. Step 2: Convert to fraction form
    154,809.20/232,213.80 = 154,809.20/x
  3. Step 3: Cross multiply
    154,809.20x = 232,213.80 × 154,809.20
  4. Step 4: Simplify right side
    154,809.20x = 35,948,832,606.96
  5. Step 5: Solve for x
    x = 35,948,832,606.96/154,809.20
  6. Step 6: Final answer
    x = 232,213.80

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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.