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Finding the Fourth Proportional to 206,827.16, 285,390.39 and 116,165.76

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Solution

The fourth proportional to 206,827.16, 285,390.39 and 116,165.76 is: 160,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,827.16 : 285,390.39 = 116,165.76 : x
  2. Step 2: Convert to fraction form
    206,827.16/285,390.39 = 116,165.76/x
  3. Step 3: Cross multiply
    206,827.16x = 285,390.39 × 116,165.76
  4. Step 4: Simplify right side
    206,827.16x = 33,152,590,916.45
  5. Step 5: Solve for x
    x = 33,152,590,916.45/206,827.16
  6. Step 6: Final answer
    x = 160,291.29

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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.