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Finding the Fourth Proportional to 209,971.32, 289,669.32 and 133,449.48

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Solution

The fourth proportional to 209,971.32, 289,669.32 and 133,449.48 is: 184,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,971.32 : 289,669.32 = 133,449.48 : x
  2. Step 2: Convert to fraction form
    209,971.32/289,669.32 = 133,449.48/x
  3. Step 3: Cross multiply
    209,971.32x = 289,669.32 × 133,449.48
  4. Step 4: Simplify right side
    209,971.32x = 38,656,220,125.95
  5. Step 5: Solve for x
    x = 38,656,220,125.95/209,971.32
  6. Step 6: Final answer
    x = 184,102.38

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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.