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Finding the Fourth Proportional to 231,003.78, 346,643.91 and 99,675.78

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Solution

The fourth proportional to 231,003.78, 346,643.91 and 99,675.78 is: 149,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,003.78 : 346,643.91 = 99,675.78 : x
  2. Step 2: Convert to fraction form
    231,003.78/346,643.91 = 99,675.78/x
  3. Step 3: Cross multiply
    231,003.78x = 346,643.91 × 99,675.78
  4. Step 4: Simplify right side
    231,003.78x = 34,552,002,111.50
  5. Step 5: Solve for x
    x = 34,552,002,111.50/231,003.78
  6. Step 6: Final answer
    x = 149,573.32

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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.