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Finding the Fourth Proportional to 97,787.38, 134,738.22 and 65,900.92

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Solution

The fourth proportional to 97,787.38, 134,738.22 and 65,900.92 is: 90,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,787.38 : 134,738.22 = 65,900.92 : x
  2. Step 2: Convert to fraction form
    97,787.38/134,738.22 = 65,900.92/x
  3. Step 3: Cross multiply
    97,787.38x = 134,738.22 × 65,900.92
  4. Step 4: Simplify right side
    97,787.38x = 8,879,372,657.16
  5. Step 5: Solve for x
    x = 8,879,372,657.16/97,787.38
  6. Step 6: Final answer
    x = 90,802.85

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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.