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Finding the Fourth Proportional to 149,318.82, 223,905.33 and 65,150.10

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Solution

The fourth proportional to 149,318.82, 223,905.33 and 65,150.10 is: 97,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,318.82 : 223,905.33 = 65,150.10 : x
  2. Step 2: Convert to fraction form
    149,318.82/223,905.33 = 65,150.10/x
  3. Step 3: Cross multiply
    149,318.82x = 223,905.33 × 65,150.10
  4. Step 4: Simplify right side
    149,318.82x = 14,587,454,640.03
  5. Step 5: Solve for x
    x = 14,587,454,640.03/149,318.82
  6. Step 6: Final answer
    x = 97,693.34

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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.