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Finding the Fourth Proportional to 192,048.10, 287,909.48 and 79,658.17

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Solution

The fourth proportional to 192,048.10, 287,909.48 and 79,658.17 is: 119,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,048.10 : 287,909.48 = 79,658.17 : x
  2. Step 2: Convert to fraction form
    192,048.10/287,909.48 = 79,658.17/x
  3. Step 3: Cross multiply
    192,048.10x = 287,909.48 × 79,658.17
  4. Step 4: Simplify right side
    192,048.10x = 22,934,342,302.45
  5. Step 5: Solve for x
    x = 22,934,342,302.45/192,048.10
  6. Step 6: Final answer
    x = 119,419.78

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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.