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Finding the Fourth Proportional to 219,300.30, 328,695.30 and 100,983.60

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Solution

The fourth proportional to 219,300.30, 328,695.30 and 100,983.60 is: 151,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,300.30 : 328,695.30 = 100,983.60 : x
  2. Step 2: Convert to fraction form
    219,300.30/328,695.30 = 100,983.60/x
  3. Step 3: Cross multiply
    219,300.30x = 328,695.30 × 100,983.60
  4. Step 4: Simplify right side
    219,300.30x = 33,192,834,697.08
  5. Step 5: Solve for x
    x = 33,192,834,697.08/219,300.30
  6. Step 6: Final answer
    x = 151,357.91

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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.