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Finding the Fourth Proportional to 149,657.58, 206,527.59 and 82,589.58

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Solution

The fourth proportional to 149,657.58, 206,527.59 and 82,589.58 is: 113,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,657.58 : 206,527.59 = 82,589.58 : x
  2. Step 2: Convert to fraction form
    149,657.58/206,527.59 = 82,589.58/x
  3. Step 3: Cross multiply
    149,657.58x = 206,527.59 × 82,589.58
  4. Step 4: Simplify right side
    149,657.58x = 17,057,026,916.51
  5. Step 5: Solve for x
    x = 17,057,026,916.51/149,657.58
  6. Step 6: Final answer
    x = 113,973.69

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Why These Related Problems?

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