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Finding the Fourth Proportional to 150,652.86, 207,900.38 and 82,670.98

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Solution

The fourth proportional to 150,652.86, 207,900.38 and 82,670.98 is: 114,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,652.86 : 207,900.38 = 82,670.98 : x
  2. Step 2: Convert to fraction form
    150,652.86/207,900.38 = 82,670.98/x
  3. Step 3: Cross multiply
    150,652.86x = 207,900.38 × 82,670.98
  4. Step 4: Simplify right side
    150,652.86x = 17,187,328,156.97
  5. Step 5: Solve for x
    x = 17,187,328,156.97/150,652.86
  6. Step 6: Final answer
    x = 114,085.64

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Why These Related Problems?

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