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Finding the Fourth Proportional to 213,858.96, 295,114.84 and 121,981.88

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Solution

The fourth proportional to 213,858.96, 295,114.84 and 121,981.88 is: 168,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,858.96 : 295,114.84 = 121,981.88 : x
  2. Step 2: Convert to fraction form
    213,858.96/295,114.84 = 121,981.88/x
  3. Step 3: Cross multiply
    213,858.96x = 295,114.84 × 121,981.88
  4. Step 4: Simplify right side
    213,858.96x = 35,998,662,999.10
  5. Step 5: Solve for x
    x = 35,998,662,999.10/213,858.96
  6. Step 6: Final answer
    x = 168,328.99

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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.