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Finding the Fourth Proportional to 134,735.83, 201,841.21 and 82,014.55

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Solution

The fourth proportional to 134,735.83, 201,841.21 and 82,014.55 is: 122,862.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,735.83 : 201,841.21 = 82,014.55 : x
  2. Step 2: Convert to fraction form
    134,735.83/201,841.21 = 82,014.55/x
  3. Step 3: Cross multiply
    134,735.83x = 201,841.21 × 82,014.55
  4. Step 4: Simplify right side
    134,735.83x = 16,553,916,009.61
  5. Step 5: Solve for x
    x = 16,553,916,009.61/134,735.83
  6. Step 6: Final answer
    x = 122,862.02

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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.