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Finding the Fourth Proportional to 182,782.44, 273,415.50 and 171,585

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Solution

The fourth proportional to 182,782.44, 273,415.50 and 171,585 is: 256,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,782.44 : 273,415.50 = 171,585 : x
  2. Step 2: Convert to fraction form
    182,782.44/273,415.50 = 171,585/x
  3. Step 3: Cross multiply
    182,782.44x = 273,415.50 × 171,585
  4. Step 4: Simplify right side
    182,782.44x = 46,913,998,567.50
  5. Step 5: Solve for x
    x = 46,913,998,567.50/182,782.44
  6. Step 6: Final answer
    x = 256,665.79

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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.