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Finding the Fourth Proportional to 213,587.36, 294,752.48 and 116,794

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Solution

The fourth proportional to 213,587.36, 294,752.48 and 116,794 is: 161,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,587.36 : 294,752.48 = 116,794 : x
  2. Step 2: Convert to fraction form
    213,587.36/294,752.48 = 116,794/x
  3. Step 3: Cross multiply
    213,587.36x = 294,752.48 × 116,794
  4. Step 4: Simplify right side
    213,587.36x = 34,425,321,149.12
  5. Step 5: Solve for x
    x = 34,425,321,149.12/213,587.36
  6. Step 6: Final answer
    x = 161,176.77

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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.