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Finding the Fourth Proportional to 296,897.62, 445,112.19 and 147,189.46

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Solution

The fourth proportional to 296,897.62, 445,112.19 and 147,189.46 is: 220,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,897.62 : 445,112.19 = 147,189.46 : x
  2. Step 2: Convert to fraction form
    296,897.62/445,112.19 = 147,189.46/x
  3. Step 3: Cross multiply
    296,897.62x = 445,112.19 × 147,189.46
  4. Step 4: Simplify right side
    296,897.62x = 65,515,822,885.52
  5. Step 5: Solve for x
    x = 65,515,822,885.52/296,897.62
  6. Step 6: Final answer
    x = 220,668.06

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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.