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Finding the Fourth Proportional to 135,496.82, 186,970.48 and 75,052.46

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Solution

The fourth proportional to 135,496.82, 186,970.48 and 75,052.46 is: 103,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,496.82 : 186,970.48 = 75,052.46 : x
  2. Step 2: Convert to fraction form
    135,496.82/186,970.48 = 75,052.46/x
  3. Step 3: Cross multiply
    135,496.82x = 186,970.48 × 75,052.46
  4. Step 4: Simplify right side
    135,496.82x = 14,032,594,751.18
  5. Step 5: Solve for x
    x = 14,032,594,751.18/135,496.82
  6. Step 6: Final answer
    x = 103,564.02

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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.