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Finding the Fourth Proportional to 165,765.22, 248,646 and 99,223.90

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Solution

The fourth proportional to 165,765.22, 248,646 and 99,223.90 is: 148,834.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,765.22 : 248,646 = 99,223.90 : x
  2. Step 2: Convert to fraction form
    165,765.22/248,646 = 99,223.90/x
  3. Step 3: Cross multiply
    165,765.22x = 248,646 × 99,223.90
  4. Step 4: Simplify right side
    165,765.22x = 24,671,625,839.40
  5. Step 5: Solve for x
    x = 24,671,625,839.40/165,765.22
  6. Step 6: Final answer
    x = 148,834.75

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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.