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Finding the Fourth Proportional to 139,502.26, 192,508.95 and 75,838.42

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Solution

The fourth proportional to 139,502.26, 192,508.95 and 75,838.42 is: 104,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,502.26 : 192,508.95 = 75,838.42 : x
  2. Step 2: Convert to fraction form
    139,502.26/192,508.95 = 75,838.42/x
  3. Step 3: Cross multiply
    139,502.26x = 192,508.95 × 75,838.42
  4. Step 4: Simplify right side
    139,502.26x = 14,599,574,603.86
  5. Step 5: Solve for x
    x = 14,599,574,603.86/139,502.26
  6. Step 6: Final answer
    x = 104,654.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.