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Finding the Fourth Proportional to 99,468, 149,202 and 29,346.30

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Solution

The fourth proportional to 99,468, 149,202 and 29,346.30 is: 44,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,468 : 149,202 = 29,346.30 : x
  2. Step 2: Convert to fraction form
    99,468/149,202 = 29,346.30/x
  3. Step 3: Cross multiply
    99,468x = 149,202 × 29,346.30
  4. Step 4: Simplify right side
    99,468x = 4,378,526,652.60
  5. Step 5: Solve for x
    x = 4,378,526,652.60/99,468
  6. Step 6: Final answer
    x = 44,019.45

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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.