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Finding the Fourth Proportional to 114,540.82, 171,920.67 and 70,254.16

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Solution

The fourth proportional to 114,540.82, 171,920.67 and 70,254.16 is: 105,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,540.82 : 171,920.67 = 70,254.16 : x
  2. Step 2: Convert to fraction form
    114,540.82/171,920.67 = 70,254.16/x
  3. Step 3: Cross multiply
    114,540.82x = 171,920.67 × 70,254.16
  4. Step 4: Simplify right side
    114,540.82x = 12,078,142,257.49
  5. Step 5: Solve for x
    x = 12,078,142,257.49/114,540.82
  6. Step 6: Final answer
    x = 105,448.37

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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.