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Finding the Fourth Proportional to 205,313.79, 283,305.03 and 114,658.20

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Solution

The fourth proportional to 205,313.79, 283,305.03 and 114,658.20 is: 158,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,313.79 : 283,305.03 = 114,658.20 : x
  2. Step 2: Convert to fraction form
    205,313.79/283,305.03 = 114,658.20/x
  3. Step 3: Cross multiply
    205,313.79x = 283,305.03 × 114,658.20
  4. Step 4: Simplify right side
    205,313.79x = 32,483,243,871.67
  5. Step 5: Solve for x
    x = 32,483,243,871.67/205,313.79
  6. Step 6: Final answer
    x = 158,212.67

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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.