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Finding the Fourth Proportional to 113,644.40, 170,522.88 and 83,584.48

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Solution

The fourth proportional to 113,644.40, 170,522.88 and 83,584.48 is: 125,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,644.40 : 170,522.88 = 83,584.48 : x
  2. Step 2: Convert to fraction form
    113,644.40/170,522.88 = 83,584.48/x
  3. Step 3: Cross multiply
    113,644.40x = 170,522.88 × 83,584.48
  4. Step 4: Simplify right side
    113,644.40x = 14,253,066,252.90
  5. Step 5: Solve for x
    x = 14,253,066,252.90/113,644.40
  6. Step 6: Final answer
    x = 125,418.11

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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.