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Finding the Fourth Proportional to 201,507.88, 301,846.86 and 118,201

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Solution

The fourth proportional to 201,507.88, 301,846.86 and 118,201 is: 177,058.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,507.88 : 301,846.86 = 118,201 : x
  2. Step 2: Convert to fraction form
    201,507.88/301,846.86 = 118,201/x
  3. Step 3: Cross multiply
    201,507.88x = 301,846.86 × 118,201
  4. Step 4: Simplify right side
    201,507.88x = 35,678,600,698.86
  5. Step 5: Solve for x
    x = 35,678,600,698.86/201,507.88
  6. Step 6: Final answer
    x = 177,058.09

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