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Finding the Fourth Proportional to 97,348.86, 134,237.70 and 76,894.97

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Solution

The fourth proportional to 97,348.86, 134,237.70 and 76,894.97 is: 106,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,348.86 : 134,237.70 = 76,894.97 : x
  2. Step 2: Convert to fraction form
    97,348.86/134,237.70 = 76,894.97/x
  3. Step 3: Cross multiply
    97,348.86x = 134,237.70 × 76,894.97
  4. Step 4: Simplify right side
    97,348.86x = 10,322,203,243.18
  5. Step 5: Solve for x
    x = 10,322,203,243.18/97,348.86
  6. Step 6: Final answer
    x = 106,033.12

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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.