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Finding the Fourth Proportional to 205,106.88, 283,050.12 and 119,085.96

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Solution

The fourth proportional to 205,106.88, 283,050.12 and 119,085.96 is: 164,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,106.88 : 283,050.12 = 119,085.96 : x
  2. Step 2: Convert to fraction form
    205,106.88/283,050.12 = 119,085.96/x
  3. Step 3: Cross multiply
    205,106.88x = 283,050.12 × 119,085.96
  4. Step 4: Simplify right side
    205,106.88x = 33,707,295,268.32
  5. Step 5: Solve for x
    x = 33,707,295,268.32/205,106.88
  6. Step 6: Final answer
    x = 164,340.15

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Why These Related Problems?

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