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Finding the Fourth Proportional to 215,478.70, 323,218.05 and 122,166.70

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Solution

The fourth proportional to 215,478.70, 323,218.05 and 122,166.70 is: 183,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,478.70 : 323,218.05 = 122,166.70 : x
  2. Step 2: Convert to fraction form
    215,478.70/323,218.05 = 122,166.70/x
  3. Step 3: Cross multiply
    215,478.70x = 323,218.05 × 122,166.70
  4. Step 4: Simplify right side
    215,478.70x = 39,486,482,548.94
  5. Step 5: Solve for x
    x = 39,486,482,548.94/215,478.70
  6. Step 6: Final answer
    x = 183,250.05

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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.