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Finding the Fourth Proportional to 145,792.34, 201,192.55 and 82,150.64

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Solution

The fourth proportional to 145,792.34, 201,192.55 and 82,150.64 is: 113,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,792.34 : 201,192.55 = 82,150.64 : x
  2. Step 2: Convert to fraction form
    145,792.34/201,192.55 = 82,150.64/x
  3. Step 3: Cross multiply
    145,792.34x = 201,192.55 × 82,150.64
  4. Step 4: Simplify right side
    145,792.34x = 16,528,096,745.73
  5. Step 5: Solve for x
    x = 16,528,096,745.73/145,792.34
  6. Step 6: Final answer
    x = 113,367.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.