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Finding the Fourth Proportional to 146,952, 220,429.08 and 36,144

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Solution

The fourth proportional to 146,952, 220,429.08 and 36,144 is: 54,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,952 : 220,429.08 = 36,144 : x
  2. Step 2: Convert to fraction form
    146,952/220,429.08 = 36,144/x
  3. Step 3: Cross multiply
    146,952x = 220,429.08 × 36,144
  4. Step 4: Simplify right side
    146,952x = 7,967,188,667.52
  5. Step 5: Solve for x
    x = 7,967,188,667.52/146,952
  6. Step 6: Final answer
    x = 54,216.27

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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.