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Finding the Fourth Proportional to 201,057.04, 277,447.89 and 115,017.73

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Solution

The fourth proportional to 201,057.04, 277,447.89 and 115,017.73 is: 158,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,057.04 : 277,447.89 = 115,017.73 : x
  2. Step 2: Convert to fraction form
    201,057.04/277,447.89 = 115,017.73/x
  3. Step 3: Cross multiply
    201,057.04x = 277,447.89 × 115,017.73
  4. Step 4: Simplify right side
    201,057.04x = 31,911,426,501.09
  5. Step 5: Solve for x
    x = 31,911,426,501.09/201,057.04
  6. Step 6: Final answer
    x = 158,718.27

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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.