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Finding the Fourth Proportional to 97,750.70, 146,431.65 and 53,297.90

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Solution

The fourth proportional to 97,750.70, 146,431.65 and 53,297.90 is: 79,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,750.70 : 146,431.65 = 53,297.90 : x
  2. Step 2: Convert to fraction form
    97,750.70/146,431.65 = 53,297.90/x
  3. Step 3: Cross multiply
    97,750.70x = 146,431.65 × 53,297.90
  4. Step 4: Simplify right side
    97,750.70x = 7,804,499,438.54
  5. Step 5: Solve for x
    x = 7,804,499,438.54/97,750.70
  6. Step 6: Final answer
    x = 79,840.85

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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.