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Finding the Fourth Proportional to 173,286.40, 259,929.60 and 152,947.30

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Solution

The fourth proportional to 173,286.40, 259,929.60 and 152,947.30 is: 229,420.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,286.40 : 259,929.60 = 152,947.30 : x
  2. Step 2: Convert to fraction form
    173,286.40/259,929.60 = 152,947.30/x
  3. Step 3: Cross multiply
    173,286.40x = 259,929.60 × 152,947.30
  4. Step 4: Simplify right side
    173,286.40x = 39,755,530,510.08
  5. Step 5: Solve for x
    x = 39,755,530,510.08/173,286.40
  6. Step 6: Final answer
    x = 229,420.95

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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.