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Finding the Fourth Proportional to 265,293.02, 397,955.10 and 75,738.81

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Solution

The fourth proportional to 265,293.02, 397,955.10 and 75,738.81 is: 113,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,293.02 : 397,955.10 = 75,738.81 : x
  2. Step 2: Convert to fraction form
    265,293.02/397,955.10 = 75,738.81/x
  3. Step 3: Cross multiply
    265,293.02x = 397,955.10 × 75,738.81
  4. Step 4: Simplify right side
    265,293.02x = 30,140,645,707.43
  5. Step 5: Solve for x
    x = 30,140,645,707.43/265,293.02
  6. Step 6: Final answer
    x = 113,612.66

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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.