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Finding the Fourth Proportional to 302,424, 453,504.96 and 92,013.12

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Solution

The fourth proportional to 302,424, 453,504.96 and 92,013.12 is: 137,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,424 : 453,504.96 = 92,013.12 : x
  2. Step 2: Convert to fraction form
    302,424/453,504.96 = 92,013.12/x
  3. Step 3: Cross multiply
    302,424x = 453,504.96 × 92,013.12
  4. Step 4: Simplify right side
    302,424x = 41,728,406,305.08
  5. Step 5: Solve for x
    x = 41,728,406,305.08/302,424
  6. Step 6: Final answer
    x = 137,979.81

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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.