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Finding the Fourth Proportional to 149,480, 206,282.40 and 82,416.32

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Solution

The fourth proportional to 149,480, 206,282.40 and 82,416.32 is: 113,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,480 : 206,282.40 = 82,416.32 : x
  2. Step 2: Convert to fraction form
    149,480/206,282.40 = 82,416.32/x
  3. Step 3: Cross multiply
    149,480x = 206,282.40 × 82,416.32
  4. Step 4: Simplify right side
    149,480x = 17,001,036,288.77
  5. Step 5: Solve for x
    x = 17,001,036,288.77/149,480
  6. Step 6: Final answer
    x = 113,734.52

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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.