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Finding the Fourth Proportional to 205,135.62, 283,101.39 and 114,509.40

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Solution

The fourth proportional to 205,135.62, 283,101.39 and 114,509.40 is: 158,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,135.62 : 283,101.39 = 114,509.40 : x
  2. Step 2: Convert to fraction form
    205,135.62/283,101.39 = 114,509.40/x
  3. Step 3: Cross multiply
    205,135.62x = 283,101.39 × 114,509.40
  4. Step 4: Simplify right side
    205,135.62x = 32,417,770,308.07
  5. Step 5: Solve for x
    x = 32,417,770,308.07/205,135.62
  6. Step 6: Final answer
    x = 158,030.92

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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.