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Finding the Fourth Proportional to 109,334.80, 164,002.20 and 98,837.20

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Solution

The fourth proportional to 109,334.80, 164,002.20 and 98,837.20 is: 148,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,334.80 : 164,002.20 = 98,837.20 : x
  2. Step 2: Convert to fraction form
    109,334.80/164,002.20 = 98,837.20/x
  3. Step 3: Cross multiply
    109,334.80x = 164,002.20 × 98,837.20
  4. Step 4: Simplify right side
    109,334.80x = 16,209,518,241.84
  5. Step 5: Solve for x
    x = 16,209,518,241.84/109,334.80
  6. Step 6: Final answer
    x = 148,255.80

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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.