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Finding the Fourth Proportional to 152,215.38, 210,057.57 and 84,237.30

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Solution

The fourth proportional to 152,215.38, 210,057.57 and 84,237.30 is: 116,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,215.38 : 210,057.57 = 84,237.30 : x
  2. Step 2: Convert to fraction form
    152,215.38/210,057.57 = 84,237.30/x
  3. Step 3: Cross multiply
    152,215.38x = 210,057.57 × 84,237.30
  4. Step 4: Simplify right side
    152,215.38x = 17,694,682,541.36
  5. Step 5: Solve for x
    x = 17,694,682,541.36/152,215.38
  6. Step 6: Final answer
    x = 116,247.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.