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Finding the Fourth Proportional to 199,406.40, 299,109.60 and 133,051.20

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Solution

The fourth proportional to 199,406.40, 299,109.60 and 133,051.20 is: 199,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,406.40 : 299,109.60 = 133,051.20 : x
  2. Step 2: Convert to fraction form
    199,406.40/299,109.60 = 133,051.20/x
  3. Step 3: Cross multiply
    199,406.40x = 299,109.60 × 133,051.20
  4. Step 4: Simplify right side
    199,406.40x = 39,796,891,211.52
  5. Step 5: Solve for x
    x = 39,796,891,211.52/199,406.40
  6. Step 6: Final answer
    x = 199,576.80

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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.