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Finding the Fourth Proportional to 226,230, 339,111.69 and 101,658.48

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Solution

The fourth proportional to 226,230, 339,111.69 and 101,658.48 is: 152,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,230 : 339,111.69 = 101,658.48 : x
  2. Step 2: Convert to fraction form
    226,230/339,111.69 = 101,658.48/x
  3. Step 3: Cross multiply
    226,230x = 339,111.69 × 101,658.48
  4. Step 4: Simplify right side
    226,230x = 34,473,578,955.63
  5. Step 5: Solve for x
    x = 34,473,578,955.63/226,230
  6. Step 6: Final answer
    x = 152,382.88

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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.