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Finding the Fourth Proportional to 146,321.71, 219,459.67 and 46,468.76

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Solution

The fourth proportional to 146,321.71, 219,459.67 and 46,468.76 is: 69,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,321.71 : 219,459.67 = 46,468.76 : x
  2. Step 2: Convert to fraction form
    146,321.71/219,459.67 = 46,468.76/x
  3. Step 3: Cross multiply
    146,321.71x = 219,459.67 × 46,468.76
  4. Step 4: Simplify right side
    146,321.71x = 10,198,017,521.44
  5. Step 5: Solve for x
    x = 10,198,017,521.44/146,321.71
  6. Step 6: Final answer
    x = 69,695.86

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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.