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Finding the Fourth Proportional to 302,434.36, 453,753.63 and 133,931.48

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Solution

The fourth proportional to 302,434.36, 453,753.63 and 133,931.48 is: 200,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,434.36 : 453,753.63 = 133,931.48 : x
  2. Step 2: Convert to fraction form
    302,434.36/453,753.63 = 133,931.48/x
  3. Step 3: Cross multiply
    302,434.36x = 453,753.63 × 133,931.48
  4. Step 4: Simplify right side
    302,434.36x = 60,771,892,952.50
  5. Step 5: Solve for x
    x = 60,771,892,952.50/302,434.36
  6. Step 6: Final answer
    x = 200,942.42

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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.