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Finding the Fourth Proportional to 147,145.37, 220,716.90 and 97,447.88

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Solution

The fourth proportional to 147,145.37, 220,716.90 and 97,447.88 is: 146,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,145.37 : 220,716.90 = 97,447.88 : x
  2. Step 2: Convert to fraction form
    147,145.37/220,716.90 = 97,447.88/x
  3. Step 3: Cross multiply
    147,145.37x = 220,716.90 × 97,447.88
  4. Step 4: Simplify right side
    147,145.37x = 21,508,393,985.17
  5. Step 5: Solve for x
    x = 21,508,393,985.17/147,145.37
  6. Step 6: Final answer
    x = 146,171.06

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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.