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Finding the Fourth Proportional to 109,294.80, 163,942.20 and 99,445.20

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Solution

The fourth proportional to 109,294.80, 163,942.20 and 99,445.20 is: 149,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,294.80 : 163,942.20 = 99,445.20 : x
  2. Step 2: Convert to fraction form
    109,294.80/163,942.20 = 99,445.20/x
  3. Step 3: Cross multiply
    109,294.80x = 163,942.20 × 99,445.20
  4. Step 4: Simplify right side
    109,294.80x = 16,303,264,867.44
  5. Step 5: Solve for x
    x = 16,303,264,867.44/109,294.80
  6. Step 6: Final answer
    x = 149,167.80

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1.5x scale

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.