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Finding the Fourth Proportional to 97,507.68, 146,198.40 and 64,126.68

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Solution

The fourth proportional to 97,507.68, 146,198.40 and 64,126.68 is: 96,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,507.68 : 146,198.40 = 64,126.68 : x
  2. Step 2: Convert to fraction form
    97,507.68/146,198.40 = 64,126.68/x
  3. Step 3: Cross multiply
    97,507.68x = 146,198.40 × 64,126.68
  4. Step 4: Simplify right side
    97,507.68x = 9,375,218,013.31
  5. Step 5: Solve for x
    x = 9,375,218,013.31/97,507.68
  6. Step 6: Final answer
    x = 96,148.51

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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.