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Finding the Fourth Proportional to 154,214.73, 231,323.73 and 54,356.31

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Solution

The fourth proportional to 154,214.73, 231,323.73 and 54,356.31 is: 81,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,214.73 : 231,323.73 = 54,356.31 : x
  2. Step 2: Convert to fraction form
    154,214.73/231,323.73 = 54,356.31/x
  3. Step 3: Cross multiply
    154,214.73x = 231,323.73 × 54,356.31
  4. Step 4: Simplify right side
    154,214.73x = 12,573,904,378.24
  5. Step 5: Solve for x
    x = 12,573,904,378.24/154,214.73
  6. Step 6: Final answer
    x = 81,535.04

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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.