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Finding the Fourth Proportional to 102,455.98, 153,647 and 43,296.22

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Solution

The fourth proportional to 102,455.98, 153,647 and 43,296.22 is: 64,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,455.98 : 153,647 = 43,296.22 : x
  2. Step 2: Convert to fraction form
    102,455.98/153,647 = 43,296.22/x
  3. Step 3: Cross multiply
    102,455.98x = 153,647 × 43,296.22
  4. Step 4: Simplify right side
    102,455.98x = 6,652,334,314.34
  5. Step 5: Solve for x
    x = 6,652,334,314.34/102,455.98
  6. Step 6: Final answer
    x = 64,928.71

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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.