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Finding the Fourth Proportional to 522,112.40, 783,198.36 and 148,106

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Solution

The fourth proportional to 522,112.40, 783,198.36 and 148,106 is: 222,167.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,112.40 : 783,198.36 = 148,106 : x
  2. Step 2: Convert to fraction form
    522,112.40/783,198.36 = 148,106/x
  3. Step 3: Cross multiply
    522,112.40x = 783,198.36 × 148,106
  4. Step 4: Simplify right side
    522,112.40x = 115,996,376,306.16
  5. Step 5: Solve for x
    x = 115,996,376,306.16/522,112.40
  6. Step 6: Final answer
    x = 222,167.44

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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.