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Finding the Fourth Proportional to 263,820, 364,094.64 and 144,611.04

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Solution

The fourth proportional to 263,820, 364,094.64 and 144,611.04 is: 199,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,820 : 364,094.64 = 144,611.04 : x
  2. Step 2: Convert to fraction form
    263,820/364,094.64 = 144,611.04/x
  3. Step 3: Cross multiply
    263,820x = 364,094.64 × 144,611.04
  4. Step 4: Simplify right side
    263,820x = 52,652,104,548.83
  5. Step 5: Solve for x
    x = 52,652,104,548.83/263,820
  6. Step 6: Final answer
    x = 199,575.86

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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.