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Finding the Fourth Proportional to 97,785.90, 146,788.20 and 75,697.20

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Solution

The fourth proportional to 97,785.90, 146,788.20 and 75,697.20 is: 113,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785.90 : 146,788.20 = 75,697.20 : x
  2. Step 2: Convert to fraction form
    97,785.90/146,788.20 = 75,697.20/x
  3. Step 3: Cross multiply
    97,785.90x = 146,788.20 × 75,697.20
  4. Step 4: Simplify right side
    97,785.90x = 11,111,455,733.04
  5. Step 5: Solve for x
    x = 11,111,455,733.04/97,785.90
  6. Step 6: Final answer
    x = 113,630.45

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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.