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Finding the Fourth Proportional to 201,092.94, 301,639.10 and 51,333.26

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Solution

The fourth proportional to 201,092.94, 301,639.10 and 51,333.26 is: 76,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,092.94 : 301,639.10 = 51,333.26 : x
  2. Step 2: Convert to fraction form
    201,092.94/301,639.10 = 51,333.26/x
  3. Step 3: Cross multiply
    201,092.94x = 301,639.10 × 51,333.26
  4. Step 4: Simplify right side
    201,092.94x = 15,484,116,581.60
  5. Step 5: Solve for x
    x = 15,484,116,581.60/201,092.94
  6. Step 6: Final answer
    x = 76,999.80

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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.