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Finding the Fourth Proportional to 205,454.88, 283,338 and 157,710.24

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Solution

The fourth proportional to 205,454.88, 283,338 and 157,710.24 is: 217,494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,454.88 : 283,338 = 157,710.24 : x
  2. Step 2: Convert to fraction form
    205,454.88/283,338 = 157,710.24/x
  3. Step 3: Cross multiply
    205,454.88x = 283,338 × 157,710.24
  4. Step 4: Simplify right side
    205,454.88x = 44,685,303,981.12
  5. Step 5: Solve for x
    x = 44,685,303,981.12/205,454.88
  6. Step 6: Final answer
    x = 217,494.49

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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.