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Finding the Fourth Proportional to 165,548, 248,395.08 and 54,740

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Solution

The fourth proportional to 165,548, 248,395.08 and 54,740 is: 82,134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,548 : 248,395.08 = 54,740 : x
  2. Step 2: Convert to fraction form
    165,548/248,395.08 = 54,740/x
  3. Step 3: Cross multiply
    165,548x = 248,395.08 × 54,740
  4. Step 4: Simplify right side
    165,548x = 13,597,146,679.20
  5. Step 5: Solve for x
    x = 13,597,146,679.20/165,548
  6. Step 6: Final answer
    x = 82,134.16

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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.