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Finding the Fourth Proportional to 207,038.38, 285,723.11 and 116,422.87

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Solution

The fourth proportional to 207,038.38, 285,723.11 and 116,422.87 is: 160,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,038.38 : 285,723.11 = 116,422.87 : x
  2. Step 2: Convert to fraction form
    207,038.38/285,723.11 = 116,422.87/x
  3. Step 3: Cross multiply
    207,038.38x = 285,723.11 × 116,422.87
  4. Step 4: Simplify right side
    207,038.38x = 33,264,704,491.53
  5. Step 5: Solve for x
    x = 33,264,704,491.53/207,038.38
  6. Step 6: Final answer
    x = 160,669.27

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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.