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Finding the Fourth Proportional to 235,476.56, 353,227.05 and 77,717.31

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Solution

The fourth proportional to 235,476.56, 353,227.05 and 77,717.31 is: 116,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,476.56 : 353,227.05 = 77,717.31 : x
  2. Step 2: Convert to fraction form
    235,476.56/353,227.05 = 77,717.31/x
  3. Step 3: Cross multiply
    235,476.56x = 353,227.05 × 77,717.31
  4. Step 4: Simplify right side
    235,476.56x = 27,451,856,145.24
  5. Step 5: Solve for x
    x = 27,451,856,145.24/235,476.56
  6. Step 6: Final answer
    x = 116,580.00

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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.