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Finding the Fourth Proportional to 213,277.73, 319,670.52 and 80,073.02

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Solution

The fourth proportional to 213,277.73, 319,670.52 and 80,073.02 is: 120,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,277.73 : 319,670.52 = 80,073.02 : x
  2. Step 2: Convert to fraction form
    213,277.73/319,670.52 = 80,073.02/x
  3. Step 3: Cross multiply
    213,277.73x = 319,670.52 × 80,073.02
  4. Step 4: Simplify right side
    213,277.73x = 25,596,984,440.27
  5. Step 5: Solve for x
    x = 25,596,984,440.27/213,277.73
  6. Step 6: Final answer
    x = 120,017.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.