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Finding the Fourth Proportional to 97,747.20, 146,620.80 and 78,064.20

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Solution

The fourth proportional to 97,747.20, 146,620.80 and 78,064.20 is: 117,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,747.20 : 146,620.80 = 78,064.20 : x
  2. Step 2: Convert to fraction form
    97,747.20/146,620.80 = 78,064.20/x
  3. Step 3: Cross multiply
    97,747.20x = 146,620.80 × 78,064.20
  4. Step 4: Simplify right side
    97,747.20x = 11,445,835,455.36
  5. Step 5: Solve for x
    x = 11,445,835,455.36/97,747.20
  6. Step 6: Final answer
    x = 117,096.30

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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.