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Finding the Fourth Proportional to 102,144.48, 153,217.49 and 35,584.50

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Solution

The fourth proportional to 102,144.48, 153,217.49 and 35,584.50 is: 53,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,144.48 : 153,217.49 = 35,584.50 : x
  2. Step 2: Convert to fraction form
    102,144.48/153,217.49 = 35,584.50/x
  3. Step 3: Cross multiply
    102,144.48x = 153,217.49 × 35,584.50
  4. Step 4: Simplify right side
    102,144.48x = 5,452,168,004.13
  5. Step 5: Solve for x
    x = 5,452,168,004.13/102,144.48
  6. Step 6: Final answer
    x = 53,377.02

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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.