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Finding the Fourth Proportional to 205,722.42, 283,920.46 and 115,101.34

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Solution

The fourth proportional to 205,722.42, 283,920.46 and 115,101.34 is: 158,853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,722.42 : 283,920.46 = 115,101.34 : x
  2. Step 2: Convert to fraction form
    205,722.42/283,920.46 = 115,101.34/x
  3. Step 3: Cross multiply
    205,722.42x = 283,920.46 × 115,101.34
  4. Step 4: Simplify right side
    205,722.42x = 32,679,624,401.86
  5. Step 5: Solve for x
    x = 32,679,624,401.86/205,722.42
  6. Step 6: Final answer
    x = 158,853.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.