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Finding the Fourth Proportional to 361,204, 541,762.86 and 94,985.25

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Solution

The fourth proportional to 361,204, 541,762.86 and 94,985.25 is: 142,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,204 : 541,762.86 = 94,985.25 : x
  2. Step 2: Convert to fraction form
    361,204/541,762.86 = 94,985.25/x
  3. Step 3: Cross multiply
    361,204x = 541,762.86 × 94,985.25
  4. Step 4: Simplify right side
    361,204x = 51,459,480,697.82
  5. Step 5: Solve for x
    x = 51,459,480,697.82/361,204
  6. Step 6: Final answer
    x = 142,466.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.