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Finding the Fourth Proportional to 536,204.24, 804,305.72 and 136,845.06

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Solution

The fourth proportional to 536,204.24, 804,305.72 and 136,845.06 is: 205,267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,204.24 : 804,305.72 = 136,845.06 : x
  2. Step 2: Convert to fraction form
    536,204.24/804,305.72 = 136,845.06/x
  3. Step 3: Cross multiply
    536,204.24x = 804,305.72 × 136,845.06
  4. Step 4: Simplify right side
    536,204.24x = 110,065,262,158.87
  5. Step 5: Solve for x
    x = 110,065,262,158.87/536,204.24
  6. Step 6: Final answer
    x = 205,267.42

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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.