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Finding the Fourth Proportional to 206,039.71, 284,302.32 and 120,012.85

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Solution

The fourth proportional to 206,039.71, 284,302.32 and 120,012.85 is: 165,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,039.71 : 284,302.32 = 120,012.85 : x
  2. Step 2: Convert to fraction form
    206,039.71/284,302.32 = 120,012.85/x
  3. Step 3: Cross multiply
    206,039.71x = 284,302.32 × 120,012.85
  4. Step 4: Simplify right side
    206,039.71x = 34,119,931,684.81
  5. Step 5: Solve for x
    x = 34,119,931,684.81/206,039.71
  6. Step 6: Final answer
    x = 165,598.81

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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.