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Finding the Fourth Proportional to 205,332.26, 283,355.52 and 114,689.51

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Solution

The fourth proportional to 205,332.26, 283,355.52 and 114,689.51 is: 158,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,332.26 : 283,355.52 = 114,689.51 : x
  2. Step 2: Convert to fraction form
    205,332.26/283,355.52 = 114,689.51/x
  3. Step 3: Cross multiply
    205,332.26x = 283,355.52 × 114,689.51
  4. Step 4: Simplify right side
    205,332.26x = 32,497,904,327.82
  5. Step 5: Solve for x
    x = 32,497,904,327.82/205,332.26
  6. Step 6: Final answer
    x = 158,269.85

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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.