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Finding the Fourth Proportional to 154,751.92, 232,112.40 and 49,542.64

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Solution

The fourth proportional to 154,751.92, 232,112.40 and 49,542.64 is: 74,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,751.92 : 232,112.40 = 49,542.64 : x
  2. Step 2: Convert to fraction form
    154,751.92/232,112.40 = 49,542.64/x
  3. Step 3: Cross multiply
    154,751.92x = 232,112.40 × 49,542.64
  4. Step 4: Simplify right side
    154,751.92x = 11,499,461,072.74
  5. Step 5: Solve for x
    x = 11,499,461,072.74/154,751.92
  6. Step 6: Final answer
    x = 74,309.00

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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.