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Finding the Fourth Proportional to 137,782.91, 206,682.06 and 43,026.17

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Solution

The fourth proportional to 137,782.91, 206,682.06 and 43,026.17 is: 64,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,782.91 : 206,682.06 = 43,026.17 : x
  2. Step 2: Convert to fraction form
    137,782.91/206,682.06 = 43,026.17/x
  3. Step 3: Cross multiply
    137,782.91x = 206,682.06 × 43,026.17
  4. Step 4: Simplify right side
    137,782.91x = 8,892,736,416.10
  5. Step 5: Solve for x
    x = 8,892,736,416.10/137,782.91
  6. Step 6: Final answer
    x = 64,541.65

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Why These Related Problems?

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