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Finding the Fourth Proportional to 149,548, 206,380.56 and 82,484.32

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Solution

The fourth proportional to 149,548, 206,380.56 and 82,484.32 is: 113,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,548 : 206,380.56 = 82,484.32 : x
  2. Step 2: Convert to fraction form
    149,548/206,380.56 = 82,484.32/x
  3. Step 3: Cross multiply
    149,548x = 206,380.56 × 82,484.32
  4. Step 4: Simplify right side
    149,548x = 17,023,160,152.82
  5. Step 5: Solve for x
    x = 17,023,160,152.82/149,548
  6. Step 6: Final answer
    x = 113,830.74

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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.