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Finding the Fourth Proportional to 109,446.60, 164,048.40 and 42,864.60

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Solution

The fourth proportional to 109,446.60, 164,048.40 and 42,864.60 is: 64,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,446.60 : 164,048.40 = 42,864.60 : x
  2. Step 2: Convert to fraction form
    109,446.60/164,048.40 = 42,864.60/x
  3. Step 3: Cross multiply
    109,446.60x = 164,048.40 × 42,864.60
  4. Step 4: Simplify right side
    109,446.60x = 7,031,869,046.64
  5. Step 5: Solve for x
    x = 7,031,869,046.64/109,446.60
  6. Step 6: Final answer
    x = 64,249.31

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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.