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Finding the Fourth Proportional to 102,265.60, 153,370.32 and 64,769.44

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Solution

The fourth proportional to 102,265.60, 153,370.32 and 64,769.44 is: 97,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,265.60 : 153,370.32 = 64,769.44 : x
  2. Step 2: Convert to fraction form
    102,265.60/153,370.32 = 64,769.44/x
  3. Step 3: Cross multiply
    102,265.60x = 153,370.32 × 64,769.44
  4. Step 4: Simplify right side
    102,265.60x = 9,933,709,739.02
  5. Step 5: Solve for x
    x = 9,933,709,739.02/102,265.60
  6. Step 6: Final answer
    x = 97,136.38

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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.