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Finding the Fourth Proportional to 310,605.78, 465,831.72 and 133,092.66

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Solution

The fourth proportional to 310,605.78, 465,831.72 and 133,092.66 is: 199,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,605.78 : 465,831.72 = 133,092.66 : x
  2. Step 2: Convert to fraction form
    310,605.78/465,831.72 = 133,092.66/x
  3. Step 3: Cross multiply
    310,605.78x = 465,831.72 × 133,092.66
  4. Step 4: Simplify right side
    310,605.78x = 61,998,782,727.18
  5. Step 5: Solve for x
    x = 61,998,782,727.18/310,605.78
  6. Step 6: Final answer
    x = 199,606.02

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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.