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Finding the Fourth Proportional to 205,478.83, 283,569.54 and 114,834.79

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Solution

The fourth proportional to 205,478.83, 283,569.54 and 114,834.79 is: 158,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,478.83 : 283,569.54 = 114,834.79 : x
  2. Step 2: Convert to fraction form
    205,478.83/283,569.54 = 114,834.79/x
  3. Step 3: Cross multiply
    205,478.83x = 283,569.54 × 114,834.79
  4. Step 4: Simplify right side
    205,478.83x = 32,563,646,584.28
  5. Step 5: Solve for x
    x = 32,563,646,584.28/205,478.83
  6. Step 6: Final answer
    x = 158,476.90

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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.