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Finding the Fourth Proportional to 97,694.28, 134,769.42 and 65,807.82

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Solution

The fourth proportional to 97,694.28, 134,769.42 and 65,807.82 is: 90,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,694.28 : 134,769.42 = 65,807.82 : x
  2. Step 2: Convert to fraction form
    97,694.28/134,769.42 = 65,807.82/x
  3. Step 3: Cross multiply
    97,694.28x = 134,769.42 × 65,807.82
  4. Step 4: Simplify right side
    97,694.28x = 8,868,881,732.86
  5. Step 5: Solve for x
    x = 8,868,881,732.86/97,694.28
  6. Step 6: Final answer
    x = 90,782.00

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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.