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Finding the Fourth Proportional to 97,301.70, 134,284.50 and 54,869.04

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Solution

The fourth proportional to 97,301.70, 134,284.50 and 54,869.04 is: 75,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,301.70 : 134,284.50 = 54,869.04 : x
  2. Step 2: Convert to fraction form
    97,301.70/134,284.50 = 54,869.04/x
  3. Step 3: Cross multiply
    97,301.70x = 134,284.50 × 54,869.04
  4. Step 4: Simplify right side
    97,301.70x = 7,368,061,601.88
  5. Step 5: Solve for x
    x = 7,368,061,601.88/97,301.70
  6. Step 6: Final answer
    x = 75,723.87

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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.