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Finding the Fourth Proportional to 145,662.38, 201,033.25 and 82,012.58

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Solution

The fourth proportional to 145,662.38, 201,033.25 and 82,012.58 is: 113,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,662.38 : 201,033.25 = 82,012.58 : x
  2. Step 2: Convert to fraction form
    145,662.38/201,033.25 = 82,012.58/x
  3. Step 3: Cross multiply
    145,662.38x = 201,033.25 × 82,012.58
  4. Step 4: Simplify right side
    145,662.38x = 16,487,255,041.96
  5. Step 5: Solve for x
    x = 16,487,255,041.96/145,662.38
  6. Step 6: Final answer
    x = 113,188.15

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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.