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Finding the Fourth Proportional to 102,311.60, 153,488.32 and 43,147.32

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Solution

The fourth proportional to 102,311.60, 153,488.32 and 43,147.32 is: 64,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,311.60 : 153,488.32 = 43,147.32 : x
  2. Step 2: Convert to fraction form
    102,311.60/153,488.32 = 43,147.32/x
  3. Step 3: Cross multiply
    102,311.60x = 153,488.32 × 43,147.32
  4. Step 4: Simplify right side
    102,311.60x = 6,622,609,659.30
  5. Step 5: Solve for x
    x = 6,622,609,659.30/102,311.60
  6. Step 6: Final answer
    x = 64,729.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.