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Finding the Fourth Proportional to 97,774.10, 146,410.32 and 67,745.68

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Solution

The fourth proportional to 97,774.10, 146,410.32 and 67,745.68 is: 101,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,774.10 : 146,410.32 = 67,745.68 : x
  2. Step 2: Convert to fraction form
    97,774.10/146,410.32 = 67,745.68/x
  3. Step 3: Cross multiply
    97,774.10x = 146,410.32 × 67,745.68
  4. Step 4: Simplify right side
    97,774.10x = 9,918,666,687.42
  5. Step 5: Solve for x
    x = 9,918,666,687.42/97,774.10
  6. Step 6: Final answer
    x = 101,444.73

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1.5x scale

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.