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Finding the Fourth Proportional to 209,952.84, 289,735.02 and 114,457.56

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Solution

The fourth proportional to 209,952.84, 289,735.02 and 114,457.56 is: 157,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952.84 : 289,735.02 = 114,457.56 : x
  2. Step 2: Convert to fraction form
    209,952.84/289,735.02 = 114,457.56/x
  3. Step 3: Cross multiply
    209,952.84x = 289,735.02 × 114,457.56
  4. Step 4: Simplify right side
    209,952.84x = 33,162,363,435.75
  5. Step 5: Solve for x
    x = 33,162,363,435.75/209,952.84
  6. Step 6: Final answer
    x = 157,951.49

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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.