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Finding the Fourth Proportional to 143,152.65, 214,753.68 and 48,383.46

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Solution

The fourth proportional to 143,152.65, 214,753.68 and 48,383.46 is: 72,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,152.65 : 214,753.68 = 48,383.46 : x
  2. Step 2: Convert to fraction form
    143,152.65/214,753.68 = 48,383.46/x
  3. Step 3: Cross multiply
    143,152.65x = 214,753.68 × 48,383.46
  4. Step 4: Simplify right side
    143,152.65x = 10,390,526,086.13
  5. Step 5: Solve for x
    x = 10,390,526,086.13/143,152.65
  6. Step 6: Final answer
    x = 72,583.54

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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.