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Finding the Fourth Proportional to 652,124.20, 978,186.30 and 178,857.40

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Solution

The fourth proportional to 652,124.20, 978,186.30 and 178,857.40 is: 268,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,124.20 : 978,186.30 = 178,857.40 : x
  2. Step 2: Convert to fraction form
    652,124.20/978,186.30 = 178,857.40/x
  3. Step 3: Cross multiply
    652,124.20x = 978,186.30 × 178,857.40
  4. Step 4: Simplify right side
    652,124.20x = 174,955,858,333.62
  5. Step 5: Solve for x
    x = 174,955,858,333.62/652,124.20
  6. Step 6: Final answer
    x = 268,286.10

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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.