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Finding the Fourth Proportional to 315,992.23, 473,891.94 and 166,151.23

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Solution

The fourth proportional to 315,992.23, 473,891.94 and 166,151.23 is: 249,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,992.23 : 473,891.94 = 166,151.23 : x
  2. Step 2: Convert to fraction form
    315,992.23/473,891.94 = 166,151.23/x
  3. Step 3: Cross multiply
    315,992.23x = 473,891.94 × 166,151.23
  4. Step 4: Simplify right side
    315,992.23x = 78,737,727,533.36
  5. Step 5: Solve for x
    x = 78,737,727,533.36/315,992.23
  6. Step 6: Final answer
    x = 249,176.15

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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.