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Finding the Fourth Proportional to 114,022.60, 170,742.30 and 84,279.40

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Solution

The fourth proportional to 114,022.60, 170,742.30 and 84,279.40 is: 126,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,022.60 : 170,742.30 = 84,279.40 : x
  2. Step 2: Convert to fraction form
    114,022.60/170,742.30 = 84,279.40/x
  3. Step 3: Cross multiply
    114,022.60x = 170,742.30 × 84,279.40
  4. Step 4: Simplify right side
    114,022.60x = 14,390,058,598.62
  5. Step 5: Solve for x
    x = 14,390,058,598.62/114,022.60
  6. Step 6: Final answer
    x = 126,203.56

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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.