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Finding the Fourth Proportional to 265,910.50, 398,642.02 and 123,683.51

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Solution

The fourth proportional to 265,910.50, 398,642.02 and 123,683.51 is: 185,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,910.50 : 398,642.02 = 123,683.51 : x
  2. Step 2: Convert to fraction form
    265,910.50/398,642.02 = 123,683.51/x
  3. Step 3: Cross multiply
    265,910.50x = 398,642.02 × 123,683.51
  4. Step 4: Simplify right side
    265,910.50x = 49,305,444,267.09
  5. Step 5: Solve for x
    x = 49,305,444,267.09/265,910.50
  6. Step 6: Final answer
    x = 185,421.20

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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.