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Finding the Fourth Proportional to 210,512.34, 290,409.57 and 121,036.50

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Solution

The fourth proportional to 210,512.34, 290,409.57 and 121,036.50 is: 166,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,512.34 : 290,409.57 = 121,036.50 : x
  2. Step 2: Convert to fraction form
    210,512.34/290,409.57 = 121,036.50/x
  3. Step 3: Cross multiply
    210,512.34x = 290,409.57 × 121,036.50
  4. Step 4: Simplify right side
    210,512.34x = 35,150,157,919.31
  5. Step 5: Solve for x
    x = 35,150,157,919.31/210,512.34
  6. Step 6: Final answer
    x = 166,974.33

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