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Finding the Fourth Proportional to 205,155.95, 283,162.45 and 120,300.35

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Solution

The fourth proportional to 205,155.95, 283,162.45 and 120,300.35 is: 166,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,155.95 : 283,162.45 = 120,300.35 : x
  2. Step 2: Convert to fraction form
    205,155.95/283,162.45 = 120,300.35/x
  3. Step 3: Cross multiply
    205,155.95x = 283,162.45 × 120,300.35
  4. Step 4: Simplify right side
    205,155.95x = 34,064,540,125.29
  5. Step 5: Solve for x
    x = 34,064,540,125.29/205,155.95
  6. Step 6: Final answer
    x = 166,042.18

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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.