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Finding the Fourth Proportional to 536,105.86, 804,159.27 and 162,129.22

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Solution

The fourth proportional to 536,105.86, 804,159.27 and 162,129.22 is: 243,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,105.86 : 804,159.27 = 162,129.22 : x
  2. Step 2: Convert to fraction form
    536,105.86/804,159.27 = 162,129.22/x
  3. Step 3: Cross multiply
    536,105.86x = 804,159.27 × 162,129.22
  4. Step 4: Simplify right side
    536,105.86x = 130,377,715,200.87
  5. Step 5: Solve for x
    x = 130,377,715,200.87/536,105.86
  6. Step 6: Final answer
    x = 243,193.98

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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.