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Finding the Fourth Proportional to 200,416.86, 276,384.36 and 119,831.31

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Solution

The fourth proportional to 200,416.86, 276,384.36 and 119,831.31 is: 165,253.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,416.86 : 276,384.36 = 119,831.31 : x
  2. Step 2: Convert to fraction form
    200,416.86/276,384.36 = 119,831.31/x
  3. Step 3: Cross multiply
    200,416.86x = 276,384.36 × 119,831.31
  4. Step 4: Simplify right side
    200,416.86x = 33,119,499,922.31
  5. Step 5: Solve for x
    x = 33,119,499,922.31/200,416.86
  6. Step 6: Final answer
    x = 165,253.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.