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Finding the Fourth Proportional to 282,056.38, 389,295.14 and 191,441.55

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Solution

The fourth proportional to 282,056.38, 389,295.14 and 191,441.55 is: 264,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,056.38 : 389,295.14 = 191,441.55 : x
  2. Step 2: Convert to fraction form
    282,056.38/389,295.14 = 191,441.55/x
  3. Step 3: Cross multiply
    282,056.38x = 389,295.14 × 191,441.55
  4. Step 4: Simplify right side
    282,056.38x = 74,527,265,511.72
  5. Step 5: Solve for x
    x = 74,527,265,511.72/282,056.38
  6. Step 6: Final answer
    x = 264,228.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.