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Finding the Fourth Proportional to 226,302.80, 339,503.16 and 86,064.08

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Solution

The fourth proportional to 226,302.80, 339,503.16 and 86,064.08 is: 129,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,302.80 : 339,503.16 = 86,064.08 : x
  2. Step 2: Convert to fraction form
    226,302.80/339,503.16 = 86,064.08/x
  3. Step 3: Cross multiply
    226,302.80x = 339,503.16 × 86,064.08
  4. Step 4: Simplify right side
    226,302.80x = 29,219,027,122.49
  5. Step 5: Solve for x
    x = 29,219,027,122.49/226,302.80
  6. Step 6: Final answer
    x = 129,114.74

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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.