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Finding the Fourth Proportional to 652,138.20, 978,207.30 and 178,871.40

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Solution

The fourth proportional to 652,138.20, 978,207.30 and 178,871.40 is: 268,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,138.20 : 978,207.30 = 178,871.40 : x
  2. Step 2: Convert to fraction form
    652,138.20/978,207.30 = 178,871.40/x
  3. Step 3: Cross multiply
    652,138.20x = 978,207.30 × 178,871.40
  4. Step 4: Simplify right side
    652,138.20x = 174,973,309,241.22
  5. Step 5: Solve for x
    x = 174,973,309,241.22/652,138.20
  6. Step 6: Final answer
    x = 268,307.10

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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.