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Finding the Fourth Proportional to 213,608.10, 320,412.15 and 185,960.10

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Solution

The fourth proportional to 213,608.10, 320,412.15 and 185,960.10 is: 278,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,608.10 : 320,412.15 = 185,960.10 : x
  2. Step 2: Convert to fraction form
    213,608.10/320,412.15 = 185,960.10/x
  3. Step 3: Cross multiply
    213,608.10x = 320,412.15 × 185,960.10
  4. Step 4: Simplify right side
    213,608.10x = 59,583,875,455.22
  5. Step 5: Solve for x
    x = 59,583,875,455.22/213,608.10
  6. Step 6: Final answer
    x = 278,940.15

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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.