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Finding the Fourth Proportional to 205,364.39, 283,386.47 and 114,713.24

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Solution

The fourth proportional to 205,364.39, 283,386.47 and 114,713.24 is: 158,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,364.39 : 283,386.47 = 114,713.24 : x
  2. Step 2: Convert to fraction form
    205,364.39/283,386.47 = 114,713.24/x
  3. Step 3: Cross multiply
    205,364.39x = 283,386.47 × 114,713.24
  4. Step 4: Simplify right side
    205,364.39x = 32,508,178,155.36
  5. Step 5: Solve for x
    x = 32,508,178,155.36/205,364.39
  6. Step 6: Final answer
    x = 158,295.11

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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.