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Finding the Fourth Proportional to 201,253.25, 277,723.63 and 115,209.33

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Solution

The fourth proportional to 201,253.25, 277,723.63 and 115,209.33 is: 158,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,253.25 : 277,723.63 = 115,209.33 : x
  2. Step 2: Convert to fraction form
    201,253.25/277,723.63 = 115,209.33/x
  3. Step 3: Cross multiply
    201,253.25x = 277,723.63 × 115,209.33
  4. Step 4: Simplify right side
    201,253.25x = 31,996,353,337.47
  5. Step 5: Solve for x
    x = 31,996,353,337.47/201,253.25
  6. Step 6: Final answer
    x = 158,985.52

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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.