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Finding the Fourth Proportional to 253,468.57, 349,775.62 and 140,284.57

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Solution

The fourth proportional to 253,468.57, 349,775.62 and 140,284.57 is: 193,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,468.57 : 349,775.62 = 140,284.57 : x
  2. Step 2: Convert to fraction form
    253,468.57/349,775.62 = 140,284.57/x
  3. Step 3: Cross multiply
    253,468.57x = 349,775.62 × 140,284.57
  4. Step 4: Simplify right side
    253,468.57x = 49,068,122,448.18
  5. Step 5: Solve for x
    x = 49,068,122,448.18/253,468.57
  6. Step 6: Final answer
    x = 193,586.61

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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.