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Finding the Fourth Proportional to 143,596.56, 198,148.94 and 83,186.66

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Solution

The fourth proportional to 143,596.56, 198,148.94 and 83,186.66 is: 114,789.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,596.56 : 198,148.94 = 83,186.66 : x
  2. Step 2: Convert to fraction form
    143,596.56/198,148.94 = 83,186.66/x
  3. Step 3: Cross multiply
    143,596.56x = 198,148.94 × 83,186.66
  4. Step 4: Simplify right side
    143,596.56x = 16,483,348,501.14
  5. Step 5: Solve for x
    x = 16,483,348,501.14/143,596.56
  6. Step 6: Final answer
    x = 114,789.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.