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Finding the Fourth Proportional to 302,086.24, 453,118.80 and 77,448.94

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Solution

The fourth proportional to 302,086.24, 453,118.80 and 77,448.94 is: 116,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,086.24 : 453,118.80 = 77,448.94 : x
  2. Step 2: Convert to fraction form
    302,086.24/453,118.80 = 77,448.94/x
  3. Step 3: Cross multiply
    302,086.24x = 453,118.80 × 77,448.94
  4. Step 4: Simplify right side
    302,086.24x = 35,093,570,754.07
  5. Step 5: Solve for x
    x = 35,093,570,754.07/302,086.24
  6. Step 6: Final answer
    x = 116,170.70

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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.