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Finding the Fourth Proportional to 192,319.52, 288,446.40 and 52,045.28

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Solution

The fourth proportional to 192,319.52, 288,446.40 and 52,045.28 is: 78,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,319.52 : 288,446.40 = 52,045.28 : x
  2. Step 2: Convert to fraction form
    192,319.52/288,446.40 = 52,045.28/x
  3. Step 3: Cross multiply
    192,319.52x = 288,446.40 × 52,045.28
  4. Step 4: Simplify right side
    192,319.52x = 15,012,273,652.99
  5. Step 5: Solve for x
    x = 15,012,273,652.99/192,319.52
  6. Step 6: Final answer
    x = 78,059.02

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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.