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Finding the Fourth Proportional to 102,213.36, 153,320.76 and 35,653.20

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Solution

The fourth proportional to 102,213.36, 153,320.76 and 35,653.20 is: 53,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,213.36 : 153,320.76 = 35,653.20 : x
  2. Step 2: Convert to fraction form
    102,213.36/153,320.76 = 35,653.20/x
  3. Step 3: Cross multiply
    102,213.36x = 153,320.76 × 35,653.20
  4. Step 4: Simplify right side
    102,213.36x = 5,466,375,720.43
  5. Step 5: Solve for x
    x = 5,466,375,720.43/102,213.36
  6. Step 6: Final answer
    x = 53,480.05

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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.