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Finding the Fourth Proportional to 146,855.24, 220,283.06 and 36,047.24

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Solution

The fourth proportional to 146,855.24, 220,283.06 and 36,047.24 is: 54,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,855.24 : 220,283.06 = 36,047.24 : x
  2. Step 2: Convert to fraction form
    146,855.24/220,283.06 = 36,047.24/x
  3. Step 3: Cross multiply
    146,855.24x = 220,283.06 × 36,047.24
  4. Step 4: Simplify right side
    146,855.24x = 7,940,595,320.46
  5. Step 5: Solve for x
    x = 7,940,595,320.46/146,855.24
  6. Step 6: Final answer
    x = 54,070.90

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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.