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Finding the Fourth Proportional to 302,013.14, 453,022.47 and 91,651.10

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Solution

The fourth proportional to 302,013.14, 453,022.47 and 91,651.10 is: 137,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,013.14 : 453,022.47 = 91,651.10 : x
  2. Step 2: Convert to fraction form
    302,013.14/453,022.47 = 91,651.10/x
  3. Step 3: Cross multiply
    302,013.14x = 453,022.47 × 91,651.10
  4. Step 4: Simplify right side
    302,013.14x = 41,520,007,700.22
  5. Step 5: Solve for x
    x = 41,520,007,700.22/302,013.14
  6. Step 6: Final answer
    x = 137,477.49

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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.