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Finding the Fourth Proportional to 201,182.49, 301,820.43 and 59,022

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Solution

The fourth proportional to 201,182.49, 301,820.43 and 59,022 is: 88,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,182.49 : 301,820.43 = 59,022 : x
  2. Step 2: Convert to fraction form
    201,182.49/301,820.43 = 59,022/x
  3. Step 3: Cross multiply
    201,182.49x = 301,820.43 × 59,022
  4. Step 4: Simplify right side
    201,182.49x = 17,814,045,419.46
  5. Step 5: Solve for x
    x = 17,814,045,419.46/201,182.49
  6. Step 6: Final answer
    x = 88,546.70

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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.