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Finding the Fourth Proportional to 177,078, 265,669.02 and 52,422.24

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Solution

The fourth proportional to 177,078, 265,669.02 and 52,422.24 is: 78,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,078 : 265,669.02 = 52,422.24 : x
  2. Step 2: Convert to fraction form
    177,078/265,669.02 = 52,422.24/x
  3. Step 3: Cross multiply
    177,078x = 265,669.02 × 52,422.24
  4. Step 4: Simplify right side
    177,078x = 13,926,965,127.00
  5. Step 5: Solve for x
    x = 13,926,965,127.00/177,078
  6. Step 6: Final answer
    x = 78,648.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.