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Finding the Fourth Proportional to 131,468.80, 197,203.20 and 64,919.20

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Solution

The fourth proportional to 131,468.80, 197,203.20 and 64,919.20 is: 97,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,468.80 : 197,203.20 = 64,919.20 : x
  2. Step 2: Convert to fraction form
    131,468.80/197,203.20 = 64,919.20/x
  3. Step 3: Cross multiply
    131,468.80x = 197,203.20 × 64,919.20
  4. Step 4: Simplify right side
    131,468.80x = 12,802,273,981.44
  5. Step 5: Solve for x
    x = 12,802,273,981.44/131,468.80
  6. Step 6: Final answer
    x = 97,378.80

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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.