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Finding the Fourth Proportional to 216,467.71, 324,346.60 and 152,977.73

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Solution

The fourth proportional to 216,467.71, 324,346.60 and 152,977.73 is: 229,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,467.71 : 324,346.60 = 152,977.73 : x
  2. Step 2: Convert to fraction form
    216,467.71/324,346.60 = 152,977.73/x
  3. Step 3: Cross multiply
    216,467.71x = 324,346.60 × 152,977.73
  4. Step 4: Simplify right side
    216,467.71x = 49,617,806,134.66
  5. Step 5: Solve for x
    x = 49,617,806,134.66/216,467.71
  6. Step 6: Final answer
    x = 229,215.74

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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.