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Finding the Fourth Proportional to 302,427.60, 453,622.20 and 102,747.60

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Solution

The fourth proportional to 302,427.60, 453,622.20 and 102,747.60 is: 154,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,427.60 : 453,622.20 = 102,747.60 : x
  2. Step 2: Convert to fraction form
    302,427.60/453,622.20 = 102,747.60/x
  3. Step 3: Cross multiply
    302,427.60x = 453,622.20 × 102,747.60
  4. Step 4: Simplify right side
    302,427.60x = 46,608,592,356.72
  5. Step 5: Solve for x
    x = 46,608,592,356.72/302,427.60
  6. Step 6: Final answer
    x = 154,114.88

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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.