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Finding the Fourth Proportional to 282,033.54, 389,143.32 and 167,253.86

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Solution

The fourth proportional to 282,033.54, 389,143.32 and 167,253.86 is: 230,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,033.54 : 389,143.32 = 167,253.86 : x
  2. Step 2: Convert to fraction form
    282,033.54/389,143.32 = 167,253.86/x
  3. Step 3: Cross multiply
    282,033.54x = 389,143.32 × 167,253.86
  4. Step 4: Simplify right side
    282,033.54x = 65,085,722,363.22
  5. Step 5: Solve for x
    x = 65,085,722,363.22/282,033.54
  6. Step 6: Final answer
    x = 230,772.99

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1.5x scale

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.