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Finding the Fourth Proportional to 78,271.08, 117,406.22 and 19,107.06

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Solution

The fourth proportional to 78,271.08, 117,406.22 and 19,107.06 is: 28,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,271.08 : 117,406.22 = 19,107.06 : x
  2. Step 2: Convert to fraction form
    78,271.08/117,406.22 = 19,107.06/x
  3. Step 3: Cross multiply
    78,271.08x = 117,406.22 × 19,107.06
  4. Step 4: Simplify right side
    78,271.08x = 2,243,287,594.38
  5. Step 5: Solve for x
    x = 2,243,287,594.38/78,271.08
  6. Step 6: Final answer
    x = 28,660.49

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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.