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Finding the Fourth Proportional to 302,542.40, 453,878.40 and 92,201.60

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Solution

The fourth proportional to 302,542.40, 453,878.40 and 92,201.60 is: 138,322.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,542.40 : 453,878.40 = 92,201.60 : x
  2. Step 2: Convert to fraction form
    302,542.40/453,878.40 = 92,201.60/x
  3. Step 3: Cross multiply
    302,542.40x = 453,878.40 × 92,201.60
  4. Step 4: Simplify right side
    302,542.40x = 41,848,314,685.44
  5. Step 5: Solve for x
    x = 41,848,314,685.44/302,542.40
  6. Step 6: Final answer
    x = 138,322.15

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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.