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Finding the Fourth Proportional to 209,988, 289,783.44 and 120,581.28

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Solution

The fourth proportional to 209,988, 289,783.44 and 120,581.28 is: 166,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,988 : 289,783.44 = 120,581.28 : x
  2. Step 2: Convert to fraction form
    209,988/289,783.44 = 120,581.28/x
  3. Step 3: Cross multiply
    209,988x = 289,783.44 × 120,581.28
  4. Step 4: Simplify right side
    209,988x = 34,942,458,118.00
  5. Step 5: Solve for x
    x = 34,942,458,118.00/209,988
  6. Step 6: Final answer
    x = 166,402.17

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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.