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Finding the Fourth Proportional to 150,978.48, 208,396.66 and 97,263.30

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Solution

The fourth proportional to 150,978.48, 208,396.66 and 97,263.30 is: 134,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,978.48 : 208,396.66 = 97,263.30 : x
  2. Step 2: Convert to fraction form
    150,978.48/208,396.66 = 97,263.30/x
  3. Step 3: Cross multiply
    150,978.48x = 208,396.66 × 97,263.30
  4. Step 4: Simplify right side
    150,978.48x = 20,269,345,575.44
  5. Step 5: Solve for x
    x = 20,269,345,575.44/150,978.48
  6. Step 6: Final answer
    x = 134,253.21

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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.