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Finding the Fourth Proportional to 209,503.30, 289,114.01 and 114,009.97

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Solution

The fourth proportional to 209,503.30, 289,114.01 and 114,009.97 is: 157,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,503.30 : 289,114.01 = 114,009.97 : x
  2. Step 2: Convert to fraction form
    209,503.30/289,114.01 = 114,009.97/x
  3. Step 3: Cross multiply
    209,503.30x = 289,114.01 × 114,009.97
  4. Step 4: Simplify right side
    209,503.30x = 32,961,879,606.68
  5. Step 5: Solve for x
    x = 32,961,879,606.68/209,503.30
  6. Step 6: Final answer
    x = 157,333.46

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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.