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Finding the Fourth Proportional to 213,066.50, 319,295.25 and 156,462.62

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Solution

The fourth proportional to 213,066.50, 319,295.25 and 156,462.62 is: 234,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,066.50 : 319,295.25 = 156,462.62 : x
  2. Step 2: Convert to fraction form
    213,066.50/319,295.25 = 156,462.62/x
  3. Step 3: Cross multiply
    213,066.50x = 319,295.25 × 156,462.62
  4. Step 4: Simplify right side
    213,066.50x = 49,957,769,772.08
  5. Step 5: Solve for x
    x = 49,957,769,772.08/213,066.50
  6. Step 6: Final answer
    x = 234,470.32

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