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Finding the Fourth Proportional to 296,837.80, 445,299.90 and 97,109.80

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Solution

The fourth proportional to 296,837.80, 445,299.90 and 97,109.80 is: 145,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,837.80 : 445,299.90 = 97,109.80 : x
  2. Step 2: Convert to fraction form
    296,837.80/445,299.90 = 97,109.80/x
  3. Step 3: Cross multiply
    296,837.80x = 445,299.90 × 97,109.80
  4. Step 4: Simplify right side
    296,837.80x = 43,242,984,229.02
  5. Step 5: Solve for x
    x = 43,242,984,229.02/296,837.80
  6. Step 6: Final answer
    x = 145,678.83

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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.