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Finding the Fourth Proportional to 213,455.19, 320,217.35 and 65,676.63

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Solution

The fourth proportional to 213,455.19, 320,217.35 and 65,676.63 is: 98,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,455.19 : 320,217.35 = 65,676.63 : x
  2. Step 2: Convert to fraction form
    213,455.19/320,217.35 = 65,676.63/x
  3. Step 3: Cross multiply
    213,455.19x = 320,217.35 × 65,676.63
  4. Step 4: Simplify right side
    213,455.19x = 21,030,796,415.53
  5. Step 5: Solve for x
    x = 21,030,796,415.53/213,455.19
  6. Step 6: Final answer
    x = 98,525.58

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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.