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Finding the Fourth Proportional to 201,047.63, 277,426.64 and 120,460.19

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Solution

The fourth proportional to 201,047.63, 277,426.64 and 120,460.19 is: 166,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,047.63 : 277,426.64 = 120,460.19 : x
  2. Step 2: Convert to fraction form
    201,047.63/277,426.64 = 120,460.19/x
  3. Step 3: Cross multiply
    201,047.63x = 277,426.64 × 120,460.19
  4. Step 4: Simplify right side
    201,047.63x = 33,418,865,163.16
  5. Step 5: Solve for x
    x = 33,418,865,163.16/201,047.63
  6. Step 6: Final answer
    x = 166,223.62

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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.