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Finding the Fourth Proportional to 145,995.96, 201,474 and 82,333.29

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Solution

The fourth proportional to 145,995.96, 201,474 and 82,333.29 is: 113,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,995.96 : 201,474 = 82,333.29 : x
  2. Step 2: Convert to fraction form
    145,995.96/201,474 = 82,333.29/x
  3. Step 3: Cross multiply
    145,995.96x = 201,474 × 82,333.29
  4. Step 4: Simplify right side
    145,995.96x = 16,588,017,269.46
  5. Step 5: Solve for x
    x = 16,588,017,269.46/145,995.96
  6. Step 6: Final answer
    x = 113,619.70

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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.