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Finding the Fourth Proportional to 216,711.64, 325,082.04 and 83,593

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Solution

The fourth proportional to 216,711.64, 325,082.04 and 83,593 is: 125,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,711.64 : 325,082.04 = 83,593 : x
  2. Step 2: Convert to fraction form
    216,711.64/325,082.04 = 83,593/x
  3. Step 3: Cross multiply
    216,711.64x = 325,082.04 × 83,593
  4. Step 4: Simplify right side
    216,711.64x = 27,174,582,969.72
  5. Step 5: Solve for x
    x = 27,174,582,969.72/216,711.64
  6. Step 6: Final answer
    x = 125,395.12

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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.