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Finding the Fourth Proportional to 168,834.24, 233,007.84 and 97,217.28

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Solution

The fourth proportional to 168,834.24, 233,007.84 and 97,217.28 is: 134,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,834.24 : 233,007.84 = 97,217.28 : x
  2. Step 2: Convert to fraction form
    168,834.24/233,007.84 = 97,217.28/x
  3. Step 3: Cross multiply
    168,834.24x = 233,007.84 × 97,217.28
  4. Step 4: Simplify right side
    168,834.24x = 22,652,388,423.48
  5. Step 5: Solve for x
    x = 22,652,388,423.48/168,834.24
  6. Step 6: Final answer
    x = 134,169.40

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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.