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Finding the Fourth Proportional to 207,450, 286,263.99 and 116,776.98

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Solution

The fourth proportional to 207,450, 286,263.99 and 116,776.98 is: 161,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,450 : 286,263.99 = 116,776.98 : x
  2. Step 2: Convert to fraction form
    207,450/286,263.99 = 116,776.98/x
  3. Step 3: Cross multiply
    207,450x = 286,263.99 × 116,776.98
  4. Step 4: Simplify right side
    207,450x = 33,429,044,234.95
  5. Step 5: Solve for x
    x = 33,429,044,234.95/207,450
  6. Step 6: Final answer
    x = 161,142.66

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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.