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Finding the Fourth Proportional to 146,314.65, 219,472.00 and 41,133.62

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Solution

The fourth proportional to 146,314.65, 219,472.00 and 41,133.62 is: 61,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,314.65 : 219,472.00 = 41,133.62 : x
  2. Step 2: Convert to fraction form
    146,314.65/219,472.00 = 41,133.62/x
  3. Step 3: Cross multiply
    146,314.65x = 219,472.00 × 41,133.62
  4. Step 4: Simplify right side
    146,314.65x = 9,027,678,294.49
  5. Step 5: Solve for x
    x = 9,027,678,294.49/146,314.65
  6. Step 6: Final answer
    x = 61,700.44

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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.