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Finding the Fourth Proportional to 361,893.80, 542,840.70 and 151,509.80

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Solution

The fourth proportional to 361,893.80, 542,840.70 and 151,509.80 is: 227,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,893.80 : 542,840.70 = 151,509.80 : x
  2. Step 2: Convert to fraction form
    361,893.80/542,840.70 = 151,509.80/x
  3. Step 3: Cross multiply
    361,893.80x = 542,840.70 × 151,509.80
  4. Step 4: Simplify right side
    361,893.80x = 82,245,685,888.86
  5. Step 5: Solve for x
    x = 82,245,685,888.86/361,893.80
  6. Step 6: Final answer
    x = 227,264.70

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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.