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Finding the Fourth Proportional to 302,139.18, 453,208.91 and 77,499.62

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Solution

The fourth proportional to 302,139.18, 453,208.91 and 77,499.62 is: 116,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,139.18 : 453,208.91 = 77,499.62 : x
  2. Step 2: Convert to fraction form
    302,139.18/453,208.91 = 77,499.62/x
  3. Step 3: Cross multiply
    302,139.18x = 453,208.91 × 77,499.62
  4. Step 4: Simplify right side
    302,139.18x = 35,123,517,351.61
  5. Step 5: Solve for x
    x = 35,123,517,351.61/302,139.18
  6. Step 6: Final answer
    x = 116,249.46

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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.