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Finding the Fourth Proportional to 188,282.12, 282,471 and 53,346.04

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Solution

The fourth proportional to 188,282.12, 282,471 and 53,346.04 is: 80,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,282.12 : 282,471 = 53,346.04 : x
  2. Step 2: Convert to fraction form
    188,282.12/282,471 = 53,346.04/x
  3. Step 3: Cross multiply
    188,282.12x = 282,471 × 53,346.04
  4. Step 4: Simplify right side
    188,282.12x = 15,068,709,264.84
  5. Step 5: Solve for x
    x = 15,068,709,264.84/188,282.12
  6. Step 6: Final answer
    x = 80,032.61

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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.