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Finding the Fourth Proportional to 176,651.76, 243,724.44 and 100,164.83

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Solution

The fourth proportional to 176,651.76, 243,724.44 and 100,164.83 is: 138,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,651.76 : 243,724.44 = 100,164.83 : x
  2. Step 2: Convert to fraction form
    176,651.76/243,724.44 = 100,164.83/x
  3. Step 3: Cross multiply
    176,651.76x = 243,724.44 × 100,164.83
  4. Step 4: Simplify right side
    176,651.76x = 24,412,617,099.45
  5. Step 5: Solve for x
    x = 24,412,617,099.45/176,651.76
  6. Step 6: Final answer
    x = 138,196.29

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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.