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Finding the Fourth Proportional to 206,032.70, 284,292.65 and 120,005.84

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Solution

The fourth proportional to 206,032.70, 284,292.65 and 120,005.84 is: 165,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,032.70 : 284,292.65 = 120,005.84 : x
  2. Step 2: Convert to fraction form
    206,032.70/284,292.65 = 120,005.84/x
  3. Step 3: Cross multiply
    206,032.70x = 284,292.65 × 120,005.84
  4. Step 4: Simplify right side
    206,032.70x = 34,116,779,279.82
  5. Step 5: Solve for x
    x = 34,116,779,279.82/206,032.70
  6. Step 6: Final answer
    x = 165,589.15

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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.