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Finding the Fourth Proportional to 201,893.24, 278,622.06 and 117,036.92

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Solution

The fourth proportional to 201,893.24, 278,622.06 and 117,036.92 is: 161,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,893.24 : 278,622.06 = 117,036.92 : x
  2. Step 2: Convert to fraction form
    201,893.24/278,622.06 = 117,036.92/x
  3. Step 3: Cross multiply
    201,893.24x = 278,622.06 × 117,036.92
  4. Step 4: Simplify right side
    201,893.24x = 32,609,067,746.46
  5. Step 5: Solve for x
    x = 32,609,067,746.46/201,893.24
  6. Step 6: Final answer
    x = 161,516.39

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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.