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Finding the Fourth Proportional to 201,084.03, 277,465.86 and 115,029.33

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Solution

The fourth proportional to 201,084.03, 277,465.86 and 115,029.33 is: 158,723.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,084.03 : 277,465.86 = 115,029.33 : x
  2. Step 2: Convert to fraction form
    201,084.03/277,465.86 = 115,029.33/x
  3. Step 3: Cross multiply
    201,084.03x = 277,465.86 × 115,029.33
  4. Step 4: Simplify right side
    201,084.03x = 31,916,711,973.67
  5. Step 5: Solve for x
    x = 31,916,711,973.67/201,084.03
  6. Step 6: Final answer
    x = 158,723.26

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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.