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Finding the Fourth Proportional to 278,466.40, 384,284.08 and 151,142

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Solution

The fourth proportional to 278,466.40, 384,284.08 and 151,142 is: 208,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,466.40 : 384,284.08 = 151,142 : x
  2. Step 2: Convert to fraction form
    278,466.40/384,284.08 = 151,142/x
  3. Step 3: Cross multiply
    278,466.40x = 384,284.08 × 151,142
  4. Step 4: Simplify right side
    278,466.40x = 58,081,464,419.36
  5. Step 5: Solve for x
    x = 58,081,464,419.36/278,466.40
  6. Step 6: Final answer
    x = 208,576.20

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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.