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Finding the Fourth Proportional to 213,616.90, 294,785.49 and 118,120.33

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Solution

The fourth proportional to 213,616.90, 294,785.49 and 118,120.33 is: 163,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,616.90 : 294,785.49 = 118,120.33 : x
  2. Step 2: Convert to fraction form
    213,616.90/294,785.49 = 118,120.33/x
  3. Step 3: Cross multiply
    213,616.90x = 294,785.49 × 118,120.33
  4. Step 4: Simplify right side
    213,616.90x = 34,820,159,358.01
  5. Step 5: Solve for x
    x = 34,820,159,358.01/213,616.90
  6. Step 6: Final answer
    x = 163,002.83

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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.