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Finding the Fourth Proportional to 209,952.46, 289,642.94 and 133,430.54

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Solution

The fourth proportional to 209,952.46, 289,642.94 and 133,430.54 is: 184,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952.46 : 289,642.94 = 133,430.54 : x
  2. Step 2: Convert to fraction form
    209,952.46/289,642.94 = 133,430.54/x
  3. Step 3: Cross multiply
    209,952.46x = 289,642.94 × 133,430.54
  4. Step 4: Simplify right side
    209,952.46x = 38,647,213,905.63
  5. Step 5: Solve for x
    x = 38,647,213,905.63/209,952.46
  6. Step 6: Final answer
    x = 184,076.03

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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.