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Finding the Fourth Proportional to 134,062.80, 200,921.40 and 81,416.40

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Solution

The fourth proportional to 134,062.80, 200,921.40 and 81,416.40 is: 122,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,062.80 : 200,921.40 = 81,416.40 : x
  2. Step 2: Convert to fraction form
    134,062.80/200,921.40 = 81,416.40/x
  3. Step 3: Cross multiply
    134,062.80x = 200,921.40 × 81,416.40
  4. Step 4: Simplify right side
    134,062.80x = 16,358,297,070.96
  5. Step 5: Solve for x
    x = 16,358,297,070.96/134,062.80
  6. Step 6: Final answer
    x = 122,019.66

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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.