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Finding the Fourth Proportional to 201,862.72, 278,578.08 and 112,444.48

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Solution

The fourth proportional to 201,862.72, 278,578.08 and 112,444.48 is: 155,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,862.72 : 278,578.08 = 112,444.48 : x
  2. Step 2: Convert to fraction form
    201,862.72/278,578.08 = 112,444.48/x
  3. Step 3: Cross multiply
    201,862.72x = 278,578.08 × 112,444.48
  4. Step 4: Simplify right side
    201,862.72x = 31,324,567,345.00
  5. Step 5: Solve for x
    x = 31,324,567,345.00/201,862.72
  6. Step 6: Final answer
    x = 155,177.57

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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.