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Finding the Fourth Proportional to 154,782.52, 232,101.32 and 54,940.50

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Solution

The fourth proportional to 154,782.52, 232,101.32 and 54,940.50 is: 82,385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,782.52 : 232,101.32 = 54,940.50 : x
  2. Step 2: Convert to fraction form
    154,782.52/232,101.32 = 54,940.50/x
  3. Step 3: Cross multiply
    154,782.52x = 232,101.32 × 54,940.50
  4. Step 4: Simplify right side
    154,782.52x = 12,751,762,296.76
  5. Step 5: Solve for x
    x = 12,751,762,296.76/154,782.52
  6. Step 6: Final answer
    x = 82,385.03

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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.