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Finding the Fourth Proportional to 143,034.12, 214,502.58 and 49,518

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Solution

The fourth proportional to 143,034.12, 214,502.58 and 49,518 is: 74,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,034.12 : 214,502.58 = 49,518 : x
  2. Step 2: Convert to fraction form
    143,034.12/214,502.58 = 49,518/x
  3. Step 3: Cross multiply
    143,034.12x = 214,502.58 × 49,518
  4. Step 4: Simplify right side
    143,034.12x = 10,621,738,756.44
  5. Step 5: Solve for x
    x = 10,621,738,756.44/143,034.12
  6. Step 6: Final answer
    x = 74,260.17

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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.