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Finding the Fourth Proportional to 281,293.12, 388,107.74 and 160,390.32

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Solution

The fourth proportional to 281,293.12, 388,107.74 and 160,390.32 is: 221,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,293.12 : 388,107.74 = 160,390.32 : x
  2. Step 2: Convert to fraction form
    281,293.12/388,107.74 = 160,390.32/x
  3. Step 3: Cross multiply
    281,293.12x = 388,107.74 × 160,390.32
  4. Step 4: Simplify right side
    281,293.12x = 62,248,724,613.08
  5. Step 5: Solve for x
    x = 62,248,724,613.08/281,293.12
  6. Step 6: Final answer
    x = 221,294.87

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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.