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Finding the Fourth Proportional to 146,488.91, 219,754.41 and 45,294.84

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Solution

The fourth proportional to 146,488.91, 219,754.41 and 45,294.84 is: 67,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,488.91 : 219,754.41 = 45,294.84 : x
  2. Step 2: Convert to fraction form
    146,488.91/219,754.41 = 45,294.84/x
  3. Step 3: Cross multiply
    146,488.91x = 219,754.41 × 45,294.84
  4. Step 4: Simplify right side
    146,488.91x = 9,953,740,840.24
  5. Step 5: Solve for x
    x = 9,953,740,840.24/146,488.91
  6. Step 6: Final answer
    x = 67,948.77

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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.