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Finding the Fourth Proportional to 154,752.95, 232,119.81 and 54,900

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Solution

The fourth proportional to 154,752.95, 232,119.81 and 54,900 is: 82,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,752.95 : 232,119.81 = 54,900 : x
  2. Step 2: Convert to fraction form
    154,752.95/232,119.81 = 54,900/x
  3. Step 3: Cross multiply
    154,752.95x = 232,119.81 × 54,900
  4. Step 4: Simplify right side
    154,752.95x = 12,743,377,569
  5. Step 5: Solve for x
    x = 12,743,377,569/154,752.95
  6. Step 6: Final answer
    x = 82,346.59

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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.