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Finding the Fourth Proportional to 243,901.10, 365,742.30 and 110,712.80

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Solution

The fourth proportional to 243,901.10, 365,742.30 and 110,712.80 is: 166,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,901.10 : 365,742.30 = 110,712.80 : x
  2. Step 2: Convert to fraction form
    243,901.10/365,742.30 = 110,712.80/x
  3. Step 3: Cross multiply
    243,901.10x = 365,742.30 × 110,712.80
  4. Step 4: Simplify right side
    243,901.10x = 40,492,354,111.44
  5. Step 5: Solve for x
    x = 40,492,354,111.44/243,901.10
  6. Step 6: Final answer
    x = 166,019.56

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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.