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Finding the Fourth Proportional to 133,831.32, 200,713.38 and 54,967.32

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Solution

The fourth proportional to 133,831.32, 200,713.38 and 54,967.32 is: 82,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,831.32 : 200,713.38 = 54,967.32 : x
  2. Step 2: Convert to fraction form
    133,831.32/200,713.38 = 54,967.32/x
  3. Step 3: Cross multiply
    133,831.32x = 200,713.38 × 54,967.32
  4. Step 4: Simplify right side
    133,831.32x = 11,032,676,586.74
  5. Step 5: Solve for x
    x = 11,032,676,586.74/133,831.32
  6. Step 6: Final answer
    x = 82,437.18

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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.