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Finding the Fourth Proportional to 200,815.88, 301,032.38 and 67,627.60

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Solution

The fourth proportional to 200,815.88, 301,032.38 and 67,627.60 is: 101,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,815.88 : 301,032.38 = 67,627.60 : x
  2. Step 2: Convert to fraction form
    200,815.88/301,032.38 = 67,627.60/x
  3. Step 3: Cross multiply
    200,815.88x = 301,032.38 × 67,627.60
  4. Step 4: Simplify right side
    200,815.88x = 20,358,097,381.69
  5. Step 5: Solve for x
    x = 20,358,097,381.69/200,815.88
  6. Step 6: Final answer
    x = 101,376.93

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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.