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Finding the Fourth Proportional to 154,765.98, 232,182.42 and 48,147.90

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Solution

The fourth proportional to 154,765.98, 232,182.42 and 48,147.90 is: 72,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,765.98 : 232,182.42 = 48,147.90 : x
  2. Step 2: Convert to fraction form
    154,765.98/232,182.42 = 48,147.90/x
  3. Step 3: Cross multiply
    154,765.98x = 232,182.42 × 48,147.90
  4. Step 4: Simplify right side
    154,765.98x = 11,179,095,939.92
  5. Step 5: Solve for x
    x = 11,179,095,939.92/154,765.98
  6. Step 6: Final answer
    x = 72,232.26

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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.