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Finding the Fourth Proportional to 139,409.94, 192,385.80 and 75,747.72

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Solution

The fourth proportional to 139,409.94, 192,385.80 and 75,747.72 is: 104,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,409.94 : 192,385.80 = 75,747.72 : x
  2. Step 2: Convert to fraction form
    139,409.94/192,385.80 = 75,747.72/x
  3. Step 3: Cross multiply
    139,409.94x = 192,385.80 × 75,747.72
  4. Step 4: Simplify right side
    139,409.94x = 14,572,785,710.38
  5. Step 5: Solve for x
    x = 14,572,785,710.38/139,409.94
  6. Step 6: Final answer
    x = 104,531.90

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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.