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Finding the Fourth Proportional to 200,842.02, 301,255.74 and 60,597

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Solution

The fourth proportional to 200,842.02, 301,255.74 and 60,597 is: 90,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,842.02 : 301,255.74 = 60,597 : x
  2. Step 2: Convert to fraction form
    200,842.02/301,255.74 = 60,597/x
  3. Step 3: Cross multiply
    200,842.02x = 301,255.74 × 60,597
  4. Step 4: Simplify right side
    200,842.02x = 18,255,194,076.78
  5. Step 5: Solve for x
    x = 18,255,194,076.78/200,842.02
  6. Step 6: Final answer
    x = 90,893.30

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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.