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Finding the Fourth Proportional to 176,282.28, 243,291.78 and 109,224.36

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Solution

The fourth proportional to 176,282.28, 243,291.78 and 109,224.36 is: 150,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,282.28 : 243,291.78 = 109,224.36 : x
  2. Step 2: Convert to fraction form
    176,282.28/243,291.78 = 109,224.36/x
  3. Step 3: Cross multiply
    176,282.28x = 243,291.78 × 109,224.36
  4. Step 4: Simplify right side
    176,282.28x = 26,573,388,963.76
  5. Step 5: Solve for x
    x = 26,573,388,963.76/176,282.28
  6. Step 6: Final answer
    x = 150,743.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.