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Finding the Fourth Proportional to 103,259.80, 154,659.30 and 84,827.80

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Solution

The fourth proportional to 103,259.80, 154,659.30 and 84,827.80 is: 127,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,259.80 : 154,659.30 = 84,827.80 : x
  2. Step 2: Convert to fraction form
    103,259.80/154,659.30 = 84,827.80/x
  3. Step 3: Cross multiply
    103,259.80x = 154,659.30 × 84,827.80
  4. Step 4: Simplify right side
    103,259.80x = 13,119,408,168.54
  5. Step 5: Solve for x
    x = 13,119,408,168.54/103,259.80
  6. Step 6: Final answer
    x = 127,052.43

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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.