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Finding the Fourth Proportional to 282,084.90, 422,857.65 and 104,544.30

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Solution

The fourth proportional to 282,084.90, 422,857.65 and 104,544.30 is: 156,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,084.90 : 422,857.65 = 104,544.30 : x
  2. Step 2: Convert to fraction form
    282,084.90/422,857.65 = 104,544.30/x
  3. Step 3: Cross multiply
    282,084.90x = 422,857.65 × 104,544.30
  4. Step 4: Simplify right side
    282,084.90x = 44,207,357,018.90
  5. Step 5: Solve for x
    x = 44,207,357,018.90/282,084.90
  6. Step 6: Final answer
    x = 156,716.50

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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.