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Finding the Fourth Proportional to 281,539.44, 388,530.72 and 160,678.32

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Solution

The fourth proportional to 281,539.44, 388,530.72 and 160,678.32 is: 221,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,539.44 : 388,530.72 = 160,678.32 : x
  2. Step 2: Convert to fraction form
    281,539.44/388,530.72 = 160,678.32/x
  3. Step 3: Cross multiply
    281,539.44x = 388,530.72 × 160,678.32
  4. Step 4: Simplify right side
    281,539.44x = 62,428,463,357.99
  5. Step 5: Solve for x
    x = 62,428,463,357.99/281,539.44
  6. Step 6: Final answer
    x = 221,739.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.