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Finding the Fourth Proportional to 235,356, 353,034 and 69,144

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Solution

The fourth proportional to 235,356, 353,034 and 69,144 is: 103,716

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,356 : 353,034 = 69,144 : x
  2. Step 2: Convert to fraction form
    235,356/353,034 = 69,144/x
  3. Step 3: Cross multiply
    235,356x = 353,034 × 69,144
  4. Step 4: Simplify right side
    235,356x = 24,410,182,896
  5. Step 5: Solve for x
    x = 24,410,182,896/235,356
  6. Step 6: Final answer
    x = 103,716

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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.