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Finding the Fourth Proportional to 209,134.58, 313,482.56 and 102,371.31

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Solution

The fourth proportional to 209,134.58, 313,482.56 and 102,371.31 is: 153,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,134.58 : 313,482.56 = 102,371.31 : x
  2. Step 2: Convert to fraction form
    209,134.58/313,482.56 = 102,371.31/x
  3. Step 3: Cross multiply
    209,134.58x = 313,482.56 × 102,371.31
  4. Step 4: Simplify right side
    209,134.58x = 32,091,619,817.50
  5. Step 5: Solve for x
    x = 32,091,619,817.50/209,134.58
  6. Step 6: Final answer
    x = 153,449.61

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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.