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Finding the Fourth Proportional to 209,760.34, 314,396.40 and 119,866.05

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Solution

The fourth proportional to 209,760.34, 314,396.40 and 119,866.05 is: 179,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,760.34 : 314,396.40 = 119,866.05 : x
  2. Step 2: Convert to fraction form
    209,760.34/314,396.40 = 119,866.05/x
  3. Step 3: Cross multiply
    209,760.34x = 314,396.40 × 119,866.05
  4. Step 4: Simplify right side
    209,760.34x = 37,685,454,602.22
  5. Step 5: Solve for x
    x = 37,685,454,602.22/209,760.34
  6. Step 6: Final answer
    x = 179,659.58

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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.