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Finding the Fourth Proportional to 105,540.40, 158,003.40 and 102,468.40

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Solution

The fourth proportional to 105,540.40, 158,003.40 and 102,468.40 is: 153,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,540.40 : 158,003.40 = 102,468.40 : x
  2. Step 2: Convert to fraction form
    105,540.40/158,003.40 = 102,468.40/x
  3. Step 3: Cross multiply
    105,540.40x = 158,003.40 × 102,468.40
  4. Step 4: Simplify right side
    105,540.40x = 16,190,355,592.56
  5. Step 5: Solve for x
    x = 16,190,355,592.56/105,540.40
  6. Step 6: Final answer
    x = 153,404.34

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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.