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Finding the Fourth Proportional to 205,282.98, 283,291.18 and 114,642.31

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Solution

The fourth proportional to 205,282.98, 283,291.18 and 114,642.31 is: 158,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,282.98 : 283,291.18 = 114,642.31 : x
  2. Step 2: Convert to fraction form
    205,282.98/283,291.18 = 114,642.31/x
  3. Step 3: Cross multiply
    205,282.98x = 283,291.18 × 114,642.31
  4. Step 4: Simplify right side
    205,282.98x = 32,477,153,288.16
  5. Step 5: Solve for x
    x = 32,477,153,288.16/205,282.98
  6. Step 6: Final answer
    x = 158,206.75

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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.