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Finding the Fourth Proportional to 194,039.80, 291,059.70 and 131,831.80

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Solution

The fourth proportional to 194,039.80, 291,059.70 and 131,831.80 is: 197,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,039.80 : 291,059.70 = 131,831.80 : x
  2. Step 2: Convert to fraction form
    194,039.80/291,059.70 = 131,831.80/x
  3. Step 3: Cross multiply
    194,039.80x = 291,059.70 × 131,831.80
  4. Step 4: Simplify right side
    194,039.80x = 38,370,924,158.46
  5. Step 5: Solve for x
    x = 38,370,924,158.46/194,039.80
  6. Step 6: Final answer
    x = 197,747.70

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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.