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Finding the Fourth Proportional to 108,148.68, 162,224.10 and 29,263.68

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Solution

The fourth proportional to 108,148.68, 162,224.10 and 29,263.68 is: 43,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,148.68 : 162,224.10 = 29,263.68 : x
  2. Step 2: Convert to fraction form
    108,148.68/162,224.10 = 29,263.68/x
  3. Step 3: Cross multiply
    108,148.68x = 162,224.10 × 29,263.68
  4. Step 4: Simplify right side
    108,148.68x = 4,747,274,150.69
  5. Step 5: Solve for x
    x = 4,747,274,150.69/108,148.68
  6. Step 6: Final answer
    x = 43,895.81

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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.