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Finding the Fourth Proportional to 139,515.84, 192,531.42 and 75,853.80

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Solution

The fourth proportional to 139,515.84, 192,531.42 and 75,853.80 is: 104,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,515.84 : 192,531.42 = 75,853.80 : x
  2. Step 2: Convert to fraction form
    139,515.84/192,531.42 = 75,853.80/x
  3. Step 3: Cross multiply
    139,515.84x = 192,531.42 × 75,853.80
  4. Step 4: Simplify right side
    139,515.84x = 14,604,239,826.40
  5. Step 5: Solve for x
    x = 14,604,239,826.40/139,515.84
  6. Step 6: Final answer
    x = 104,678.01

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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.