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Finding the Fourth Proportional to 652,134.30, 978,201.45 and 178,818.90

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Solution

The fourth proportional to 652,134.30, 978,201.45 and 178,818.90 is: 268,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,134.30 : 978,201.45 = 178,818.90 : x
  2. Step 2: Convert to fraction form
    652,134.30/978,201.45 = 178,818.90/x
  3. Step 3: Cross multiply
    652,134.30x = 978,201.45 × 178,818.90
  4. Step 4: Simplify right side
    652,134.30x = 174,920,907,267.41
  5. Step 5: Solve for x
    x = 174,920,907,267.41/652,134.30
  6. Step 6: Final answer
    x = 268,228.35

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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.