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Finding the Fourth Proportional to 201,056.06, 277,462.01 and 115,023.12

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Solution

The fourth proportional to 201,056.06, 277,462.01 and 115,023.12 is: 158,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,056.06 : 277,462.01 = 115,023.12 : x
  2. Step 2: Convert to fraction form
    201,056.06/277,462.01 = 115,023.12/x
  3. Step 3: Cross multiply
    201,056.06x = 277,462.01 × 115,023.12
  4. Step 4: Simplify right side
    201,056.06x = 31,914,545,496.56
  5. Step 5: Solve for x
    x = 31,914,545,496.56/201,056.06
  6. Step 6: Final answer
    x = 158,734.57

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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.