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Finding the Fourth Proportional to 226,228, 339,108.70 and 101,656.48

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Solution

The fourth proportional to 226,228, 339,108.70 and 101,656.48 is: 152,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,228 : 339,108.70 = 101,656.48 : x
  2. Step 2: Convert to fraction form
    226,228/339,108.70 = 101,656.48/x
  3. Step 3: Cross multiply
    226,228x = 339,108.70 × 101,656.48
  4. Step 4: Simplify right side
    226,228x = 34,472,596,779.38
  5. Step 5: Solve for x
    x = 34,472,596,779.38/226,228
  6. Step 6: Final answer
    x = 152,379.89

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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.