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Finding the Fourth Proportional to 146,464.80, 219,697.20 and 96,601.20

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Solution

The fourth proportional to 146,464.80, 219,697.20 and 96,601.20 is: 144,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,464.80 : 219,697.20 = 96,601.20 : x
  2. Step 2: Convert to fraction form
    146,464.80/219,697.20 = 96,601.20/x
  3. Step 3: Cross multiply
    146,464.80x = 219,697.20 × 96,601.20
  4. Step 4: Simplify right side
    146,464.80x = 21,223,013,156.64
  5. Step 5: Solve for x
    x = 21,223,013,156.64/146,464.80
  6. Step 6: Final answer
    x = 144,901.80

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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.