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Finding the Fourth Proportional to 192,471.30, 288,703.80 and 57,535.70

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Solution

The fourth proportional to 192,471.30, 288,703.80 and 57,535.70 is: 86,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,471.30 : 288,703.80 = 57,535.70 : x
  2. Step 2: Convert to fraction form
    192,471.30/288,703.80 = 57,535.70/x
  3. Step 3: Cross multiply
    192,471.30x = 288,703.80 × 57,535.70
  4. Step 4: Simplify right side
    192,471.30x = 16,610,775,225.66
  5. Step 5: Solve for x
    x = 16,610,775,225.66/192,471.30
  6. Step 6: Final answer
    x = 86,302.61

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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.