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Finding the Fourth Proportional to 213,295.88, 294,349.62 and 116,497.16

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Solution

The fourth proportional to 213,295.88, 294,349.62 and 116,497.16 is: 160,766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,295.88 : 294,349.62 = 116,497.16 : x
  2. Step 2: Convert to fraction form
    213,295.88/294,349.62 = 116,497.16/x
  3. Step 3: Cross multiply
    213,295.88x = 294,349.62 × 116,497.16
  4. Step 4: Simplify right side
    213,295.88x = 34,290,894,777.08
  5. Step 5: Solve for x
    x = 34,290,894,777.08/213,295.88
  6. Step 6: Final answer
    x = 160,766.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.