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Finding the Fourth Proportional to 652,091.52, 978,144.16 and 178,776.96

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Solution

The fourth proportional to 652,091.52, 978,144.16 and 178,776.96 is: 268,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,091.52 : 978,144.16 = 178,776.96 : x
  2. Step 2: Convert to fraction form
    652,091.52/978,144.16 = 178,776.96/x
  3. Step 3: Cross multiply
    652,091.52x = 978,144.16 × 178,776.96
  4. Step 4: Simplify right side
    652,091.52x = 174,869,639,366.55
  5. Step 5: Solve for x
    x = 174,869,639,366.55/652,091.52
  6. Step 6: Final answer
    x = 268,167.33

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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.