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Finding the Fourth Proportional to 97,722.40, 146,468.40 and 50,951.20

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Solution

The fourth proportional to 97,722.40, 146,468.40 and 50,951.20 is: 76,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,722.40 : 146,468.40 = 50,951.20 : x
  2. Step 2: Convert to fraction form
    97,722.40/146,468.40 = 50,951.20/x
  3. Step 3: Cross multiply
    97,722.40x = 146,468.40 × 50,951.20
  4. Step 4: Simplify right side
    97,722.40x = 7,462,740,742.08
  5. Step 5: Solve for x
    x = 7,462,740,742.08/97,722.40
  6. Step 6: Final answer
    x = 76,366.74

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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.