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Finding the Fourth Proportional to 221,341.36, 305,420.26 and 125,837.50

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Solution

The fourth proportional to 221,341.36, 305,420.26 and 125,837.50 is: 173,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,341.36 : 305,420.26 = 125,837.50 : x
  2. Step 2: Convert to fraction form
    221,341.36/305,420.26 = 125,837.50/x
  3. Step 3: Cross multiply
    221,341.36x = 305,420.26 × 125,837.50
  4. Step 4: Simplify right side
    221,341.36x = 38,433,321,967.75
  5. Step 5: Solve for x
    x = 38,433,321,967.75/221,341.36
  6. Step 6: Final answer
    x = 173,638.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.