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Finding the Fourth Proportional to 77,712.16, 116,480.04 and 68,334.04

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Solution

The fourth proportional to 77,712.16, 116,480.04 and 68,334.04 is: 102,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712.16 : 116,480.04 = 68,334.04 : x
  2. Step 2: Convert to fraction form
    77,712.16/116,480.04 = 68,334.04/x
  3. Step 3: Cross multiply
    77,712.16x = 116,480.04 × 68,334.04
  4. Step 4: Simplify right side
    77,712.16x = 7,959,551,712.56
  5. Step 5: Solve for x
    x = 7,959,551,712.56/77,712.16
  6. Step 6: Final answer
    x = 102,423.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.