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Finding the Fourth Proportional to 267,887.86, 401,831.77 and 208,767.76

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Solution

The fourth proportional to 267,887.86, 401,831.77 and 208,767.76 is: 313,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,887.86 : 401,831.77 = 208,767.76 : x
  2. Step 2: Convert to fraction form
    267,887.86/401,831.77 = 208,767.76/x
  3. Step 3: Cross multiply
    267,887.86x = 401,831.77 × 208,767.76
  4. Step 4: Simplify right side
    267,887.86x = 83,889,518,519.74
  5. Step 5: Solve for x
    x = 83,889,518,519.74/267,887.86
  6. Step 6: Final answer
    x = 313,151.62

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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.