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Finding the Fourth Proportional to 205,539.57, 283,638.65 and 114,895.71

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Solution

The fourth proportional to 205,539.57, 283,638.65 and 114,895.71 is: 158,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,539.57 : 283,638.65 = 114,895.71 : x
  2. Step 2: Convert to fraction form
    205,539.57/283,638.65 = 114,895.71/x
  3. Step 3: Cross multiply
    205,539.57x = 283,638.65 × 114,895.71
  4. Step 4: Simplify right side
    205,539.57x = 32,588,863,500.71
  5. Step 5: Solve for x
    x = 32,588,863,500.71/205,539.57
  6. Step 6: Final answer
    x = 158,552.75

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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.