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Finding the Fourth Proportional to 232,831.80, 348,729.30 and 191,359.80

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Solution

The fourth proportional to 232,831.80, 348,729.30 and 191,359.80 is: 286,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,831.80 : 348,729.30 = 191,359.80 : x
  2. Step 2: Convert to fraction form
    232,831.80/348,729.30 = 191,359.80/x
  3. Step 3: Cross multiply
    232,831.80x = 348,729.30 × 191,359.80
  4. Step 4: Simplify right side
    232,831.80x = 66,732,769,102.14
  5. Step 5: Solve for x
    x = 66,732,769,102.14/232,831.80
  6. Step 6: Final answer
    x = 286,613.64

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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.