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Finding the Fourth Proportional to 292,198.44, 438,317.10 and 102,635.76

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Solution

The fourth proportional to 292,198.44, 438,317.10 and 102,635.76 is: 153,960.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,198.44 : 438,317.10 = 102,635.76 : x
  2. Step 2: Convert to fraction form
    292,198.44/438,317.10 = 102,635.76/x
  3. Step 3: Cross multiply
    292,198.44x = 438,317.10 × 102,635.76
  4. Step 4: Simplify right side
    292,198.44x = 44,987,008,679.50
  5. Step 5: Solve for x
    x = 44,987,008,679.50/292,198.44
  6. Step 6: Final answer
    x = 153,960.47

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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.