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Finding the Fourth Proportional to 265,652.82, 398,541.52 and 105,738.44

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Solution

The fourth proportional to 265,652.82, 398,541.52 and 105,738.44 is: 158,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,652.82 : 398,541.52 = 105,738.44 : x
  2. Step 2: Convert to fraction form
    265,652.82/398,541.52 = 105,738.44/x
  3. Step 3: Cross multiply
    265,652.82x = 398,541.52 × 105,738.44
  4. Step 4: Simplify right side
    265,652.82x = 42,141,158,600.03
  5. Step 5: Solve for x
    x = 42,141,158,600.03/265,652.82
  6. Step 6: Final answer
    x = 158,632.45

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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.