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Finding the Fourth Proportional to 282,188.44, 422,948.94 and 124,086.16

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Solution

The fourth proportional to 282,188.44, 422,948.94 and 124,086.16 is: 185,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,188.44 : 422,948.94 = 124,086.16 : x
  2. Step 2: Convert to fraction form
    282,188.44/422,948.94 = 124,086.16/x
  3. Step 3: Cross multiply
    282,188.44x = 422,948.94 × 124,086.16
  4. Step 4: Simplify right side
    282,188.44x = 52,482,109,840.67
  5. Step 5: Solve for x
    x = 52,482,109,840.67/282,188.44
  6. Step 6: Final answer
    x = 185,982.49

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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.