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Finding the Fourth Proportional to 143,158.87, 214,690.61 and 57,747.67

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Solution

The fourth proportional to 143,158.87, 214,690.61 and 57,747.67 is: 86,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,158.87 : 214,690.61 = 57,747.67 : x
  2. Step 2: Convert to fraction form
    143,158.87/214,690.61 = 57,747.67/x
  3. Step 3: Cross multiply
    143,158.87x = 214,690.61 × 57,747.67
  4. Step 4: Simplify right side
    143,158.87x = 12,397,882,106.02
  5. Step 5: Solve for x
    x = 12,397,882,106.02/143,158.87
  6. Step 6: Final answer
    x = 86,602.26

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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.