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Finding the Fourth Proportional to 209,856.70, 314,785.05 and 168,384.70

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Solution

The fourth proportional to 209,856.70, 314,785.05 and 168,384.70 is: 252,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,856.70 : 314,785.05 = 168,384.70 : x
  2. Step 2: Convert to fraction form
    209,856.70/314,785.05 = 168,384.70/x
  3. Step 3: Cross multiply
    209,856.70x = 314,785.05 × 168,384.70
  4. Step 4: Simplify right side
    209,856.70x = 53,004,986,208.74
  5. Step 5: Solve for x
    x = 53,004,986,208.74/209,856.70
  6. Step 6: Final answer
    x = 252,577.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.