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Finding the Fourth Proportional to 282,070.88, 423,107.64 and 95,084

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Solution

The fourth proportional to 282,070.88, 423,107.64 and 95,084 is: 142,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,070.88 : 423,107.64 = 95,084 : x
  2. Step 2: Convert to fraction form
    282,070.88/423,107.64 = 95,084/x
  3. Step 3: Cross multiply
    282,070.88x = 423,107.64 × 95,084
  4. Step 4: Simplify right side
    282,070.88x = 40,230,766,841.76
  5. Step 5: Solve for x
    x = 40,230,766,841.76/282,070.88
  6. Step 6: Final answer
    x = 142,626.44

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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.