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Finding the Fourth Proportional to 131,422.40, 197,133.60 and 72,227.60

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Solution

The fourth proportional to 131,422.40, 197,133.60 and 72,227.60 is: 108,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,422.40 : 197,133.60 = 72,227.60 : x
  2. Step 2: Convert to fraction form
    131,422.40/197,133.60 = 72,227.60/x
  3. Step 3: Cross multiply
    131,422.40x = 197,133.60 × 72,227.60
  4. Step 4: Simplify right side
    131,422.40x = 14,238,486,807.36
  5. Step 5: Solve for x
    x = 14,238,486,807.36/131,422.40
  6. Step 6: Final answer
    x = 108,341.40

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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.