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Finding the Fourth Proportional to 182,884.23, 274,138.02 and 103,831.47

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Solution

The fourth proportional to 182,884.23, 274,138.02 and 103,831.47 is: 155,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,884.23 : 274,138.02 = 103,831.47 : x
  2. Step 2: Convert to fraction form
    182,884.23/274,138.02 = 103,831.47/x
  3. Step 3: Cross multiply
    182,884.23x = 274,138.02 × 103,831.47
  4. Step 4: Simplify right side
    182,884.23x = 28,464,153,599.49
  5. Step 5: Solve for x
    x = 28,464,153,599.49/182,884.23
  6. Step 6: Final answer
    x = 155,640.28

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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.