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Finding the Fourth Proportional to 213,452.99, 294,565.41 and 117,959.71

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Solution

The fourth proportional to 213,452.99, 294,565.41 and 117,959.71 is: 162,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,452.99 : 294,565.41 = 117,959.71 : x
  2. Step 2: Convert to fraction form
    213,452.99/294,565.41 = 117,959.71/x
  3. Step 3: Cross multiply
    213,452.99x = 294,565.41 × 117,959.71
  4. Step 4: Simplify right side
    213,452.99x = 34,746,850,155.53
  5. Step 5: Solve for x
    x = 34,746,850,155.53/213,452.99
  6. Step 6: Final answer
    x = 162,784.56

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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.