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Finding the Fourth Proportional to 201,101.86, 301,689.84 and 66,173.50

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Solution

The fourth proportional to 201,101.86, 301,689.84 and 66,173.50 is: 99,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,101.86 : 301,689.84 = 66,173.50 : x
  2. Step 2: Convert to fraction form
    201,101.86/301,689.84 = 66,173.50/x
  3. Step 3: Cross multiply
    201,101.86x = 301,689.84 × 66,173.50
  4. Step 4: Simplify right side
    201,101.86x = 19,963,872,627.24
  5. Step 5: Solve for x
    x = 19,963,872,627.24/201,101.86
  6. Step 6: Final answer
    x = 99,272.44

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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.