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Finding the Fourth Proportional to 226,773, 340,173.54 and 69,013.08

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Solution

The fourth proportional to 226,773, 340,173.54 and 69,013.08 is: 103,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,773 : 340,173.54 = 69,013.08 : x
  2. Step 2: Convert to fraction form
    226,773/340,173.54 = 69,013.08/x
  3. Step 3: Cross multiply
    226,773x = 340,173.54 × 69,013.08
  4. Step 4: Simplify right side
    226,773x = 23,476,423,729.90
  5. Step 5: Solve for x
    x = 23,476,423,729.90/226,773
  6. Step 6: Final answer
    x = 103,523.89

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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.