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Finding the Fourth Proportional to 282,514, 389,869.32 and 155,191.72

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Solution

The fourth proportional to 282,514, 389,869.32 and 155,191.72 is: 214,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,514 : 389,869.32 = 155,191.72 : x
  2. Step 2: Convert to fraction form
    282,514/389,869.32 = 155,191.72/x
  3. Step 3: Cross multiply
    282,514x = 389,869.32 × 155,191.72
  4. Step 4: Simplify right side
    282,514x = 60,504,490,346.03
  5. Step 5: Solve for x
    x = 60,504,490,346.03/282,514
  6. Step 6: Final answer
    x = 214,164.57

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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.