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Finding the Fourth Proportional to 213,217.34, 294,244.52 and 117,730.08

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Solution

The fourth proportional to 213,217.34, 294,244.52 and 117,730.08 is: 162,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,217.34 : 294,244.52 = 117,730.08 : x
  2. Step 2: Convert to fraction form
    213,217.34/294,244.52 = 117,730.08/x
  3. Step 3: Cross multiply
    213,217.34x = 294,244.52 × 117,730.08
  4. Step 4: Simplify right side
    213,217.34x = 34,641,430,879.16
  5. Step 5: Solve for x
    x = 34,641,430,879.16/213,217.34
  6. Step 6: Final answer
    x = 162,470.05

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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.