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Finding the Fourth Proportional to 206,950.94, 285,615.98 and 115,079.40

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Solution

The fourth proportional to 206,950.94, 285,615.98 and 115,079.40 is: 158,822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,950.94 : 285,615.98 = 115,079.40 : x
  2. Step 2: Convert to fraction form
    206,950.94/285,615.98 = 115,079.40/x
  3. Step 3: Cross multiply
    206,950.94x = 285,615.98 × 115,079.40
  4. Step 4: Simplify right side
    206,950.94x = 32,868,514,393.90
  5. Step 5: Solve for x
    x = 32,868,514,393.90/206,950.94
  6. Step 6: Final answer
    x = 158,822.74

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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.