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Finding the Fourth Proportional to 201,841.88, 278,541.79 and 117,008.15

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Solution

The fourth proportional to 201,841.88, 278,541.79 and 117,008.15 is: 161,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,841.88 : 278,541.79 = 117,008.15 : x
  2. Step 2: Convert to fraction form
    201,841.88/278,541.79 = 117,008.15/x
  3. Step 3: Cross multiply
    201,841.88x = 278,541.79 × 117,008.15
  4. Step 4: Simplify right side
    201,841.88x = 32,591,657,860.36
  5. Step 5: Solve for x
    x = 32,591,657,860.36/201,841.88
  6. Step 6: Final answer
    x = 161,471.24

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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.