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Finding the Fourth Proportional to 154,891.64, 232,346.10 and 44,075

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Solution

The fourth proportional to 154,891.64, 232,346.10 and 44,075 is: 66,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,891.64 : 232,346.10 = 44,075 : x
  2. Step 2: Convert to fraction form
    154,891.64/232,346.10 = 44,075/x
  3. Step 3: Cross multiply
    154,891.64x = 232,346.10 × 44,075
  4. Step 4: Simplify right side
    154,891.64x = 10,240,654,357.50
  5. Step 5: Solve for x
    x = 10,240,654,357.50/154,891.64
  6. Step 6: Final answer
    x = 66,114.96

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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.