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Finding the Fourth Proportional to 142,240.48, 196,297.50 and 81,811.05

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Solution

The fourth proportional to 142,240.48, 196,297.50 and 81,811.05 is: 112,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,240.48 : 196,297.50 = 81,811.05 : x
  2. Step 2: Convert to fraction form
    142,240.48/196,297.50 = 81,811.05/x
  3. Step 3: Cross multiply
    142,240.48x = 196,297.50 × 81,811.05
  4. Step 4: Simplify right side
    142,240.48x = 16,059,304,587.38
  5. Step 5: Solve for x
    x = 16,059,304,587.38/142,240.48
  6. Step 6: Final answer
    x = 112,902.49

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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.