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Finding the Fourth Proportional to 139,315.75, 192,254.04 and 75,654

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Solution

The fourth proportional to 139,315.75, 192,254.04 and 75,654 is: 104,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,315.75 : 192,254.04 = 75,654 : x
  2. Step 2: Convert to fraction form
    139,315.75/192,254.04 = 75,654/x
  3. Step 3: Cross multiply
    139,315.75x = 192,254.04 × 75,654
  4. Step 4: Simplify right side
    139,315.75x = 14,544,787,142.16
  5. Step 5: Solve for x
    x = 14,544,787,142.16/139,315.75
  6. Step 6: Final answer
    x = 104,401.60

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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.