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Finding the Fourth Proportional to 201,897.64, 278,618.76 and 117,063.92

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Solution

The fourth proportional to 201,897.64, 278,618.76 and 117,063.92 is: 161,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,897.64 : 278,618.76 = 117,063.92 : x
  2. Step 2: Convert to fraction form
    201,897.64/278,618.76 = 117,063.92/x
  3. Step 3: Cross multiply
    201,897.64x = 278,618.76 × 117,063.92
  4. Step 4: Simplify right side
    201,897.64x = 32,616,204,231.14
  5. Step 5: Solve for x
    x = 32,616,204,231.14/201,897.64
  6. Step 6: Final answer
    x = 161,548.22

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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.