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Finding the Fourth Proportional to 282,093.40, 422,870.40 and 104,552.80

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Solution

The fourth proportional to 282,093.40, 422,870.40 and 104,552.80 is: 156,729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,093.40 : 422,870.40 = 104,552.80 : x
  2. Step 2: Convert to fraction form
    282,093.40/422,870.40 = 104,552.80/x
  3. Step 3: Cross multiply
    282,093.40x = 422,870.40 × 104,552.80
  4. Step 4: Simplify right side
    282,093.40x = 44,212,284,357.12
  5. Step 5: Solve for x
    x = 44,212,284,357.12/282,093.40
  6. Step 6: Final answer
    x = 156,729.24

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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.