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Finding the Fourth Proportional to 422,166.51, 633,178.44 and 118,490.98

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Solution

The fourth proportional to 422,166.51, 633,178.44 and 118,490.98 is: 177,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,166.51 : 633,178.44 = 118,490.98 : x
  2. Step 2: Convert to fraction form
    422,166.51/633,178.44 = 118,490.98/x
  3. Step 3: Cross multiply
    422,166.51x = 633,178.44 × 118,490.98
  4. Step 4: Simplify right side
    422,166.51x = 75,025,932,287.53
  5. Step 5: Solve for x
    x = 75,025,932,287.53/422,166.51
  6. Step 6: Final answer
    x = 177,716.45

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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.