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Finding the Fourth Proportional to 235,715.77, 353,292.65 and 164,251.49

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Solution

The fourth proportional to 235,715.77, 353,292.65 and 164,251.49 is: 246,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,715.77 : 353,292.65 = 164,251.49 : x
  2. Step 2: Convert to fraction form
    235,715.77/353,292.65 = 164,251.49/x
  3. Step 3: Cross multiply
    235,715.77x = 353,292.65 × 164,251.49
  4. Step 4: Simplify right side
    235,715.77x = 58,028,843,347.29
  5. Step 5: Solve for x
    x = 58,028,843,347.29/235,715.77
  6. Step 6: Final answer
    x = 246,181.43

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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.