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Finding the Fourth Proportional to 164,090.78, 246,136.20 and 53,282.78

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Solution

The fourth proportional to 164,090.78, 246,136.20 and 53,282.78 is: 79,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,090.78 : 246,136.20 = 53,282.78 : x
  2. Step 2: Convert to fraction form
    164,090.78/246,136.20 = 53,282.78/x
  3. Step 3: Cross multiply
    164,090.78x = 246,136.20 × 53,282.78
  4. Step 4: Simplify right side
    164,090.78x = 13,114,820,994.64
  5. Step 5: Solve for x
    x = 13,114,820,994.64/164,090.78
  6. Step 6: Final answer
    x = 79,924.18

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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.