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Finding the Fourth Proportional to 113,184, 156,203.20 and 72,981.44

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Solution

The fourth proportional to 113,184, 156,203.20 and 72,981.44 is: 100,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,184 : 156,203.20 = 72,981.44 : x
  2. Step 2: Convert to fraction form
    113,184/156,203.20 = 72,981.44/x
  3. Step 3: Cross multiply
    113,184x = 156,203.20 × 72,981.44
  4. Step 4: Simplify right side
    113,184x = 11,399,934,468.61
  5. Step 5: Solve for x
    x = 11,399,934,468.61/113,184
  6. Step 6: Final answer
    x = 100,720.37

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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.