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Finding the Fourth Proportional to 243,874.19, 365,849.26 and 144,106.29

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Solution

The fourth proportional to 243,874.19, 365,849.26 and 144,106.29 is: 216,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,874.19 : 365,849.26 = 144,106.29 : x
  2. Step 2: Convert to fraction form
    243,874.19/365,849.26 = 144,106.29/x
  3. Step 3: Cross multiply
    243,874.19x = 365,849.26 × 144,106.29
  4. Step 4: Simplify right side
    243,874.19x = 52,721,179,197.58
  5. Step 5: Solve for x
    x = 52,721,179,197.58/243,874.19
  6. Step 6: Final answer
    x = 216,181.87

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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.