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Finding the Fourth Proportional to 147,042.44, 220,585.54 and 68,164.64

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Solution

The fourth proportional to 147,042.44, 220,585.54 and 68,164.64 is: 102,257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,042.44 : 220,585.54 = 68,164.64 : x
  2. Step 2: Convert to fraction form
    147,042.44/220,585.54 = 68,164.64/x
  3. Step 3: Cross multiply
    147,042.44x = 220,585.54 × 68,164.64
  4. Step 4: Simplify right side
    147,042.44x = 15,036,133,923.31
  5. Step 5: Solve for x
    x = 15,036,133,923.31/147,042.44
  6. Step 6: Final answer
    x = 102,257.10

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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.