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Finding the Fourth Proportional to 207,807.94, 286,769.22 and 117,163.11

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Solution

The fourth proportional to 207,807.94, 286,769.22 and 117,163.11 is: 161,681.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,807.94 : 286,769.22 = 117,163.11 : x
  2. Step 2: Convert to fraction form
    207,807.94/286,769.22 = 117,163.11/x
  3. Step 3: Cross multiply
    207,807.94x = 286,769.22 × 117,163.11
  4. Step 4: Simplify right side
    207,807.94x = 33,598,773,667.47
  5. Step 5: Solve for x
    x = 33,598,773,667.47/207,807.94
  6. Step 6: Final answer
    x = 161,681.86

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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.