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Finding the Fourth Proportional to 205,149.57, 283,106.74 and 114,505.51

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Solution

The fourth proportional to 205,149.57, 283,106.74 and 114,505.51 is: 158,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,149.57 : 283,106.74 = 114,505.51 : x
  2. Step 2: Convert to fraction form
    205,149.57/283,106.74 = 114,505.51/x
  3. Step 3: Cross multiply
    205,149.57x = 283,106.74 × 114,505.51
  4. Step 4: Simplify right side
    205,149.57x = 32,417,281,648.14
  5. Step 5: Solve for x
    x = 32,417,281,648.14/205,149.57
  6. Step 6: Final answer
    x = 158,017.79

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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.