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Finding the Fourth Proportional to 254,260.17, 380,918.37 and 182,064.06

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Solution

The fourth proportional to 254,260.17, 380,918.37 and 182,064.06 is: 272,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,260.17 : 380,918.37 = 182,064.06 : x
  2. Step 2: Convert to fraction form
    254,260.17/380,918.37 = 182,064.06/x
  3. Step 3: Cross multiply
    254,260.17x = 380,918.37 × 182,064.06
  4. Step 4: Simplify right side
    254,260.17x = 69,351,544,970.78
  5. Step 5: Solve for x
    x = 69,351,544,970.78/254,260.17
  6. Step 6: Final answer
    x = 272,758.19

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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.