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Finding the Fourth Proportional to 257,595, 355,360.14 and 182,185.08

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Solution

The fourth proportional to 257,595, 355,360.14 and 182,185.08 is: 251,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,595 : 355,360.14 = 182,185.08 : x
  2. Step 2: Convert to fraction form
    257,595/355,360.14 = 182,185.08/x
  3. Step 3: Cross multiply
    257,595x = 355,360.14 × 182,185.08
  4. Step 4: Simplify right side
    257,595x = 64,741,315,534.71
  5. Step 5: Solve for x
    x = 64,741,315,534.71/257,595
  6. Step 6: Final answer
    x = 251,329.86

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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.