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Finding the Fourth Proportional to 100,196, 150,317.04 and 34,532

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Solution

The fourth proportional to 100,196, 150,317.04 and 34,532 is: 51,805.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,196 : 150,317.04 = 34,532 : x
  2. Step 2: Convert to fraction form
    100,196/150,317.04 = 34,532/x
  3. Step 3: Cross multiply
    100,196x = 150,317.04 × 34,532
  4. Step 4: Simplify right side
    100,196x = 5,190,748,025.28
  5. Step 5: Solve for x
    x = 5,190,748,025.28/100,196
  6. Step 6: Final answer
    x = 51,805.94

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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.