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Finding the Fourth Proportional to 201,506.88, 301,845.36 and 118,200

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Solution

The fourth proportional to 201,506.88, 301,845.36 and 118,200 is: 177,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,506.88 : 301,845.36 = 118,200 : x
  2. Step 2: Convert to fraction form
    201,506.88/301,845.36 = 118,200/x
  3. Step 3: Cross multiply
    201,506.88x = 301,845.36 × 118,200
  4. Step 4: Simplify right side
    201,506.88x = 35,678,121,552
  5. Step 5: Solve for x
    x = 35,678,121,552/201,506.88
  6. Step 6: Final answer
    x = 177,056.59

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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.