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Finding the Fourth Proportional to 234,828, 352,293.84 and 87,084

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Solution

The fourth proportional to 234,828, 352,293.84 and 87,084 is: 130,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,828 : 352,293.84 = 87,084 : x
  2. Step 2: Convert to fraction form
    234,828/352,293.84 = 87,084/x
  3. Step 3: Cross multiply
    234,828x = 352,293.84 × 87,084
  4. Step 4: Simplify right side
    234,828x = 30,679,156,762.56
  5. Step 5: Solve for x
    x = 30,679,156,762.56/234,828
  6. Step 6: Final answer
    x = 130,645.22

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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.