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Finding the Fourth Proportional to 292,213.08, 438,056.46 and 105,093

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Solution

The fourth proportional to 292,213.08, 438,056.46 and 105,093 is: 157,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,213.08 : 438,056.46 = 105,093 : x
  2. Step 2: Convert to fraction form
    292,213.08/438,056.46 = 105,093/x
  3. Step 3: Cross multiply
    292,213.08x = 438,056.46 × 105,093
  4. Step 4: Simplify right side
    292,213.08x = 46,036,667,550.78
  5. Step 5: Solve for x
    x = 46,036,667,550.78/292,213.08
  6. Step 6: Final answer
    x = 157,544.86

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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.