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Finding the Fourth Proportional to 201,171.90, 277,607.24 and 120,583.76

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Solution

The fourth proportional to 201,171.90, 277,607.24 and 120,583.76 is: 166,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,171.90 : 277,607.24 = 120,583.76 : x
  2. Step 2: Convert to fraction form
    201,171.90/277,607.24 = 120,583.76/x
  3. Step 3: Cross multiply
    201,171.90x = 277,607.24 × 120,583.76
  4. Step 4: Simplify right side
    201,171.90x = 33,474,924,802.42
  5. Step 5: Solve for x
    x = 33,474,924,802.42/201,171.90
  6. Step 6: Final answer
    x = 166,399.61

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1.5x scale

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.