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Finding the Fourth Proportional to 209,876.20, 314,814.30 and 189,140.20

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Solution

The fourth proportional to 209,876.20, 314,814.30 and 189,140.20 is: 283,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,876.20 : 314,814.30 = 189,140.20 : x
  2. Step 2: Convert to fraction form
    209,876.20/314,814.30 = 189,140.20/x
  3. Step 3: Cross multiply
    209,876.20x = 314,814.30 × 189,140.20
  4. Step 4: Simplify right side
    209,876.20x = 59,544,039,664.86
  5. Step 5: Solve for x
    x = 59,544,039,664.86/209,876.20
  6. Step 6: Final answer
    x = 283,710.30

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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.