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Finding the Fourth Proportional to 215,878.20, 323,817.30 and 122,566.20

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Solution

The fourth proportional to 215,878.20, 323,817.30 and 122,566.20 is: 183,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,878.20 : 323,817.30 = 122,566.20 : x
  2. Step 2: Convert to fraction form
    215,878.20/323,817.30 = 122,566.20/x
  3. Step 3: Cross multiply
    215,878.20x = 323,817.30 × 122,566.20
  4. Step 4: Simplify right side
    215,878.20x = 39,689,055,955.26
  5. Step 5: Solve for x
    x = 39,689,055,955.26/215,878.20
  6. Step 6: Final answer
    x = 183,849.30

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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.