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Finding the Fourth Proportional to 153,311.91, 230,006.14 and 53,473.54

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Solution

The fourth proportional to 153,311.91, 230,006.14 and 53,473.54 is: 80,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,311.91 : 230,006.14 = 53,473.54 : x
  2. Step 2: Convert to fraction form
    153,311.91/230,006.14 = 53,473.54/x
  3. Step 3: Cross multiply
    153,311.91x = 230,006.14 × 53,473.54
  4. Step 4: Simplify right side
    153,311.91x = 12,299,241,377.50
  5. Step 5: Solve for x
    x = 12,299,241,377.50/153,311.91
  6. Step 6: Final answer
    x = 80,223.65

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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.