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Finding the Fourth Proportional to 152,118, 209,932.56 and 85,050

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Solution

The fourth proportional to 152,118, 209,932.56 and 85,050 is: 117,374.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,118 : 209,932.56 = 85,050 : x
  2. Step 2: Convert to fraction form
    152,118/209,932.56 = 85,050/x
  3. Step 3: Cross multiply
    152,118x = 209,932.56 × 85,050
  4. Step 4: Simplify right side
    152,118x = 17,854,764,228
  5. Step 5: Solve for x
    x = 17,854,764,228/152,118
  6. Step 6: Final answer
    x = 117,374.43

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