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Finding the Fourth Proportional to 97,693.60, 146,540.40 and 76,698.40

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Solution

The fourth proportional to 97,693.60, 146,540.40 and 76,698.40 is: 115,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,693.60 : 146,540.40 = 76,698.40 : x
  2. Step 2: Convert to fraction form
    97,693.60/146,540.40 = 76,698.40/x
  3. Step 3: Cross multiply
    97,693.60x = 146,540.40 × 76,698.40
  4. Step 4: Simplify right side
    97,693.60x = 11,239,414,215.36
  5. Step 5: Solve for x
    x = 11,239,414,215.36/97,693.60
  6. Step 6: Final answer
    x = 115,047.60

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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.