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Finding the Fourth Proportional to 201,200.75, 301,847.80 and 59,040.28

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Solution

The fourth proportional to 201,200.75, 301,847.80 and 59,040.28 is: 88,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.75 : 301,847.80 = 59,040.28 : x
  2. Step 2: Convert to fraction form
    201,200.75/301,847.80 = 59,040.28/x
  3. Step 3: Cross multiply
    201,200.75x = 301,847.80 × 59,040.28
  4. Step 4: Simplify right side
    201,200.75x = 17,821,178,629.38
  5. Step 5: Solve for x
    x = 17,821,178,629.38/201,200.75
  6. Step 6: Final answer
    x = 88,574.12

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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.