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Finding the Fourth Proportional to 201,177, 301,848.12 and 88,797.60

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Solution

The fourth proportional to 201,177, 301,848.12 and 88,797.60 is: 133,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,177 : 301,848.12 = 88,797.60 : x
  2. Step 2: Convert to fraction form
    201,177/301,848.12 = 88,797.60/x
  3. Step 3: Cross multiply
    201,177x = 301,848.12 × 88,797.60
  4. Step 4: Simplify right side
    201,177x = 26,803,388,620.51
  5. Step 5: Solve for x
    x = 26,803,388,620.51/201,177
  6. Step 6: Final answer
    x = 133,232.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.