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Finding the Fourth Proportional to 97,775.42, 146,412.31 and 67,747.00

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Solution

The fourth proportional to 97,775.42, 146,412.31 and 67,747.00 is: 101,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,775.42 : 146,412.31 = 67,747.00 : x
  2. Step 2: Convert to fraction form
    97,775.42/146,412.31 = 67,747.00/x
  3. Step 3: Cross multiply
    97,775.42x = 146,412.31 × 67,747.00
  4. Step 4: Simplify right side
    97,775.42x = 9,918,995,300.97
  5. Step 5: Solve for x
    x = 9,918,995,300.97/97,775.42
  6. Step 6: Final answer
    x = 101,446.71

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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.