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Finding the Fourth Proportional to 263,855.42, 364,138.70 and 160,529.93

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Solution

The fourth proportional to 263,855.42, 364,138.70 and 160,529.93 is: 221,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,855.42 : 364,138.70 = 160,529.93 : x
  2. Step 2: Convert to fraction form
    263,855.42/364,138.70 = 160,529.93/x
  3. Step 3: Cross multiply
    263,855.42x = 364,138.70 × 160,529.93
  4. Step 4: Simplify right side
    263,855.42x = 58,455,160,021.29
  5. Step 5: Solve for x
    x = 58,455,160,021.29/263,855.42
  6. Step 6: Final answer
    x = 221,542.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.