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Finding the Fourth Proportional to 243,053.46, 363,874.14 and 141,542.01

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Solution

The fourth proportional to 243,053.46, 363,874.14 and 141,542.01 is: 211,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,053.46 : 363,874.14 = 141,542.01 : x
  2. Step 2: Convert to fraction form
    243,053.46/363,874.14 = 141,542.01/x
  3. Step 3: Cross multiply
    243,053.46x = 363,874.14 × 141,542.01
  4. Step 4: Simplify right side
    243,053.46x = 51,503,477,162.62
  5. Step 5: Solve for x
    x = 51,503,477,162.62/243,053.46
  6. Step 6: Final answer
    x = 211,901.85

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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.