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Finding the Fourth Proportional to 265,047.24, 397,569.04 and 107,273.42

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Solution

The fourth proportional to 265,047.24, 397,569.04 and 107,273.42 is: 160,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,047.24 : 397,569.04 = 107,273.42 : x
  2. Step 2: Convert to fraction form
    265,047.24/397,569.04 = 107,273.42/x
  3. Step 3: Cross multiply
    265,047.24x = 397,569.04 × 107,273.42
  4. Step 4: Simplify right side
    265,047.24x = 42,648,590,244.05
  5. Step 5: Solve for x
    x = 42,648,590,244.05/265,047.24
  6. Step 6: Final answer
    x = 160,909.39

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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.