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Finding the Fourth Proportional to 265,119.66, 397,628.15 and 103,013.42

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Solution

The fourth proportional to 265,119.66, 397,628.15 and 103,013.42 is: 154,500.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,119.66 : 397,628.15 = 103,013.42 : x
  2. Step 2: Convert to fraction form
    265,119.66/397,628.15 = 103,013.42/x
  3. Step 3: Cross multiply
    265,119.66x = 397,628.15 × 103,013.42
  4. Step 4: Simplify right side
    265,119.66x = 40,961,036,077.54
  5. Step 5: Solve for x
    x = 40,961,036,077.54/265,119.66
  6. Step 6: Final answer
    x = 154,500.18

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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.