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Finding the Fourth Proportional to 205,150.57, 283,108.12 and 114,506.51

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Solution

The fourth proportional to 205,150.57, 283,108.12 and 114,506.51 is: 158,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,150.57 : 283,108.12 = 114,506.51 : x
  2. Step 2: Convert to fraction form
    205,150.57/283,108.12 = 114,506.51/x
  3. Step 3: Cross multiply
    205,150.57x = 283,108.12 × 114,506.51
  4. Step 4: Simplify right side
    205,150.57x = 32,417,722,773.86
  5. Step 5: Solve for x
    x = 32,417,722,773.86/205,150.57
  6. Step 6: Final answer
    x = 158,019.17

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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.