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Finding the Fourth Proportional to 143,093.19, 214,639.80 and 49,598.94

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Solution

The fourth proportional to 143,093.19, 214,639.80 and 49,598.94 is: 74,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,093.19 : 214,639.80 = 49,598.94 : x
  2. Step 2: Convert to fraction form
    143,093.19/214,639.80 = 49,598.94/x
  3. Step 3: Cross multiply
    143,093.19x = 214,639.80 × 49,598.94
  4. Step 4: Simplify right side
    143,093.19x = 10,645,906,561.81
  5. Step 5: Solve for x
    x = 10,645,906,561.81/143,093.19
  6. Step 6: Final answer
    x = 74,398.42

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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.