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Finding the Fourth Proportional to 207,808.94, 286,770.60 and 117,164.12

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Solution

The fourth proportional to 207,808.94, 286,770.60 and 117,164.12 is: 161,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,808.94 : 286,770.60 = 117,164.12 : x
  2. Step 2: Convert to fraction form
    207,808.94/286,770.60 = 117,164.12/x
  3. Step 3: Cross multiply
    207,808.94x = 286,770.60 × 117,164.12
  4. Step 4: Simplify right side
    207,808.94x = 33,599,224,990.87
  5. Step 5: Solve for x
    x = 33,599,224,990.87/207,808.94
  6. Step 6: Final answer
    x = 161,683.25

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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.