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Finding the Fourth Proportional to 364,201.80, 546,302.70 and 187,054.80

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Solution

The fourth proportional to 364,201.80, 546,302.70 and 187,054.80 is: 280,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,201.80 : 546,302.70 = 187,054.80 : x
  2. Step 2: Convert to fraction form
    364,201.80/546,302.70 = 187,054.80/x
  3. Step 3: Cross multiply
    364,201.80x = 546,302.70 × 187,054.80
  4. Step 4: Simplify right side
    364,201.80x = 102,188,542,287.96
  5. Step 5: Solve for x
    x = 102,188,542,287.96/364,201.80
  6. Step 6: Final answer
    x = 280,582.20

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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.