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Finding the Fourth Proportional to 231,238.50, 346,857.84 and 65,026.50

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Solution

The fourth proportional to 231,238.50, 346,857.84 and 65,026.50 is: 97,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,238.50 : 346,857.84 = 65,026.50 : x
  2. Step 2: Convert to fraction form
    231,238.50/346,857.84 = 65,026.50/x
  3. Step 3: Cross multiply
    231,238.50x = 346,857.84 × 65,026.50
  4. Step 4: Simplify right side
    231,238.50x = 22,554,951,332.76
  5. Step 5: Solve for x
    x = 22,554,951,332.76/231,238.50
  6. Step 6: Final answer
    x = 97,539.78

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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.