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Finding the Fourth Proportional to 205,741.68, 283,927.32 and 116,317.68

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Solution

The fourth proportional to 205,741.68, 283,927.32 and 116,317.68 is: 160,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,741.68 : 283,927.32 = 116,317.68 : x
  2. Step 2: Convert to fraction form
    205,741.68/283,927.32 = 116,317.68/x
  3. Step 3: Cross multiply
    205,741.68x = 283,927.32 × 116,317.68
  4. Step 4: Simplify right side
    205,741.68x = 33,025,767,151.02
  5. Step 5: Solve for x
    x = 33,025,767,151.02/205,741.68
  6. Step 6: Final answer
    x = 160,520.55

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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.