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Finding the Fourth Proportional to 97,764.40, 146,711.40 and 55,644.40

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Solution

The fourth proportional to 97,764.40, 146,711.40 and 55,644.40 is: 83,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,764.40 : 146,711.40 = 55,644.40 : x
  2. Step 2: Convert to fraction form
    97,764.40/146,711.40 = 55,644.40/x
  3. Step 3: Cross multiply
    97,764.40x = 146,711.40 × 55,644.40
  4. Step 4: Simplify right side
    97,764.40x = 8,163,667,826.16
  5. Step 5: Solve for x
    x = 8,163,667,826.16/97,764.40
  6. Step 6: Final answer
    x = 83,503.48

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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.