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Finding the Fourth Proportional to 302,194.58, 453,308.04 and 77,556.96

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Solution

The fourth proportional to 302,194.58, 453,308.04 and 77,556.96 is: 116,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,194.58 : 453,308.04 = 77,556.96 : x
  2. Step 2: Convert to fraction form
    302,194.58/453,308.04 = 77,556.96/x
  3. Step 3: Cross multiply
    302,194.58x = 453,308.04 × 77,556.96
  4. Step 4: Simplify right side
    302,194.58x = 35,157,193,525.96
  5. Step 5: Solve for x
    x = 35,157,193,525.96/302,194.58
  6. Step 6: Final answer
    x = 116,339.59

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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.