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Finding the Fourth Proportional to 209,581.84, 289,245 and 183,501.46

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Solution

The fourth proportional to 209,581.84, 289,245 and 183,501.46 is: 253,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,581.84 : 289,245 = 183,501.46 : x
  2. Step 2: Convert to fraction form
    209,581.84/289,245 = 183,501.46/x
  3. Step 3: Cross multiply
    209,581.84x = 289,245 × 183,501.46
  4. Step 4: Simplify right side
    209,581.84x = 53,076,879,797.70
  5. Step 5: Solve for x
    x = 53,076,879,797.70/209,581.84
  6. Step 6: Final answer
    x = 253,251.33

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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.