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Finding the Fourth Proportional to 205,170.80, 283,182.93 and 120,315.20

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Solution

The fourth proportional to 205,170.80, 283,182.93 and 120,315.20 is: 166,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,170.80 : 283,182.93 = 120,315.20 : x
  2. Step 2: Convert to fraction form
    205,170.80/283,182.93 = 120,315.20/x
  3. Step 3: Cross multiply
    205,170.80x = 283,182.93 × 120,315.20
  4. Step 4: Simplify right side
    205,170.80x = 34,071,210,859.54
  5. Step 5: Solve for x
    x = 34,071,210,859.54/205,170.80
  6. Step 6: Final answer
    x = 166,062.67

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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.