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Finding the Fourth Proportional to 270,006.10, 404,231.55 and 165,030.10

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Solution

The fourth proportional to 270,006.10, 404,231.55 and 165,030.10 is: 247,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,006.10 : 404,231.55 = 165,030.10 : x
  2. Step 2: Convert to fraction form
    270,006.10/404,231.55 = 165,030.10/x
  3. Step 3: Cross multiply
    270,006.10x = 404,231.55 × 165,030.10
  4. Step 4: Simplify right side
    270,006.10x = 66,710,373,119.66
  5. Step 5: Solve for x
    x = 66,710,373,119.66/270,006.10
  6. Step 6: Final answer
    x = 247,069.87

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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.