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Finding the Fourth Proportional to 182,097.42, 273,136.41 and 69,831.42

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Solution

The fourth proportional to 182,097.42, 273,136.41 and 69,831.42 is: 104,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,097.42 : 273,136.41 = 69,831.42 : x
  2. Step 2: Convert to fraction form
    182,097.42/273,136.41 = 69,831.42/x
  3. Step 3: Cross multiply
    182,097.42x = 273,136.41 × 69,831.42
  4. Step 4: Simplify right side
    182,097.42x = 19,073,503,364.00
  5. Step 5: Solve for x
    x = 19,073,503,364.00/182,097.42
  6. Step 6: Final answer
    x = 104,743.40

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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.