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Finding the Fourth Proportional to 139,488.60, 192,492 and 75,828

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Solution

The fourth proportional to 139,488.60, 192,492 and 75,828 is: 104,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,488.60 : 192,492 = 75,828 : x
  2. Step 2: Convert to fraction form
    139,488.60/192,492 = 75,828/x
  3. Step 3: Cross multiply
    139,488.60x = 192,492 × 75,828
  4. Step 4: Simplify right side
    139,488.60x = 14,596,283,376
  5. Step 5: Solve for x
    x = 14,596,283,376/139,488.60
  6. Step 6: Final answer
    x = 104,641.41

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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.