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Finding the Fourth Proportional to 215,251.80, 322,877.96 and 102,905.60

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Solution

The fourth proportional to 215,251.80, 322,877.96 and 102,905.60 is: 154,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,251.80 : 322,877.96 = 102,905.60 : x
  2. Step 2: Convert to fraction form
    215,251.80/322,877.96 = 102,905.60/x
  3. Step 3: Cross multiply
    215,251.80x = 322,877.96 × 102,905.60
  4. Step 4: Simplify right side
    215,251.80x = 33,225,950,200.58
  5. Step 5: Solve for x
    x = 33,225,950,200.58/215,251.80
  6. Step 6: Final answer
    x = 154,358.52

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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.