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Finding the Fourth Proportional to 110,492.60, 165,738.90 and 99,433.40

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Solution

The fourth proportional to 110,492.60, 165,738.90 and 99,433.40 is: 149,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,492.60 : 165,738.90 = 99,433.40 : x
  2. Step 2: Convert to fraction form
    110,492.60/165,738.90 = 99,433.40/x
  3. Step 3: Cross multiply
    110,492.60x = 165,738.90 × 99,433.40
  4. Step 4: Simplify right side
    110,492.60x = 16,479,982,339.26
  5. Step 5: Solve for x
    x = 16,479,982,339.26/110,492.60
  6. Step 6: Final answer
    x = 149,150.10

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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.