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Finding the Fourth Proportional to 282,144.77, 423,173.41 and 82,411.52

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Solution

The fourth proportional to 282,144.77, 423,173.41 and 82,411.52 is: 123,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,144.77 : 423,173.41 = 82,411.52 : x
  2. Step 2: Convert to fraction form
    282,144.77/423,173.41 = 82,411.52/x
  3. Step 3: Cross multiply
    282,144.77x = 423,173.41 × 82,411.52
  4. Step 4: Simplify right side
    282,144.77x = 34,874,363,941.68
  5. Step 5: Solve for x
    x = 34,874,363,941.68/282,144.77
  6. Step 6: Final answer
    x = 123,604.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.