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Finding the Fourth Proportional to 143,197.68, 214,803.70 and 36,582.46

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Solution

The fourth proportional to 143,197.68, 214,803.70 and 36,582.46 is: 54,875.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,197.68 : 214,803.70 = 36,582.46 : x
  2. Step 2: Convert to fraction form
    143,197.68/214,803.70 = 36,582.46/x
  3. Step 3: Cross multiply
    143,197.68x = 214,803.70 × 36,582.46
  4. Step 4: Simplify right side
    143,197.68x = 7,858,047,134.64
  5. Step 5: Solve for x
    x = 7,858,047,134.64/143,197.68
  6. Step 6: Final answer
    x = 54,875.52

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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.