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Finding the Fourth Proportional to 128,446.40, 192,703.20 and 49,563.20

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Solution

The fourth proportional to 128,446.40, 192,703.20 and 49,563.20 is: 74,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,446.40 : 192,703.20 = 49,563.20 : x
  2. Step 2: Convert to fraction form
    128,446.40/192,703.20 = 49,563.20/x
  3. Step 3: Cross multiply
    128,446.40x = 192,703.20 × 49,563.20
  4. Step 4: Simplify right side
    128,446.40x = 9,550,987,242.24
  5. Step 5: Solve for x
    x = 9,550,987,242.24/128,446.40
  6. Step 6: Final answer
    x = 74,357.77

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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.