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Finding the Fourth Proportional to 209,885.40, 289,623.52 and 116,733.30

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Solution

The fourth proportional to 209,885.40, 289,623.52 and 116,733.30 is: 161,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,885.40 : 289,623.52 = 116,733.30 : x
  2. Step 2: Convert to fraction form
    209,885.40/289,623.52 = 116,733.30/x
  3. Step 3: Cross multiply
    209,885.40x = 289,623.52 × 116,733.30
  4. Step 4: Simplify right side
    209,885.40x = 33,808,709,247.22
  5. Step 5: Solve for x
    x = 33,808,709,247.22/209,885.40
  6. Step 6: Final answer
    x = 161,081.76

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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.