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Finding the Fourth Proportional to 99,074, 148,619.64 and 25,202

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Solution

The fourth proportional to 99,074, 148,619.64 and 25,202 is: 37,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,074 : 148,619.64 = 25,202 : x
  2. Step 2: Convert to fraction form
    99,074/148,619.64 = 25,202/x
  3. Step 3: Cross multiply
    99,074x = 148,619.64 × 25,202
  4. Step 4: Simplify right side
    99,074x = 3,745,512,167.28
  5. Step 5: Solve for x
    x = 3,745,512,167.28/99,074
  6. Step 6: Final answer
    x = 37,805.20

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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.