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Finding the Fourth Proportional to 209,442.08, 314,162.04 and 84,782

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Solution

The fourth proportional to 209,442.08, 314,162.04 and 84,782 is: 127,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,442.08 : 314,162.04 = 84,782 : x
  2. Step 2: Convert to fraction form
    209,442.08/314,162.04 = 84,782/x
  3. Step 3: Cross multiply
    209,442.08x = 314,162.04 × 84,782
  4. Step 4: Simplify right side
    209,442.08x = 26,635,286,075.28
  5. Step 5: Solve for x
    x = 26,635,286,075.28/209,442.08
  6. Step 6: Final answer
    x = 127,172.56

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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.