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Finding the Fourth Proportional to 119,347.86, 164,704.28 and 65,637.03

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Solution

The fourth proportional to 119,347.86, 164,704.28 and 65,637.03 is: 90,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,347.86 : 164,704.28 = 65,637.03 : x
  2. Step 2: Convert to fraction form
    119,347.86/164,704.28 = 65,637.03/x
  3. Step 3: Cross multiply
    119,347.86x = 164,704.28 × 65,637.03
  4. Step 4: Simplify right side
    119,347.86x = 10,810,699,439.30
  5. Step 5: Solve for x
    x = 10,810,699,439.30/119,347.86
  6. Step 6: Final answer
    x = 90,581.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.