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Finding the Fourth Proportional to 108,408.24, 162,497.16 and 52,213.32

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Solution

The fourth proportional to 108,408.24, 162,497.16 and 52,213.32 is: 78,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,408.24 : 162,497.16 = 52,213.32 : x
  2. Step 2: Convert to fraction form
    108,408.24/162,497.16 = 52,213.32/x
  3. Step 3: Cross multiply
    108,408.24x = 162,497.16 × 52,213.32
  4. Step 4: Simplify right side
    108,408.24x = 8,484,516,214.17
  5. Step 5: Solve for x
    x = 8,484,516,214.17/108,408.24
  6. Step 6: Final answer
    x = 78,264.50

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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.