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Finding the Fourth Proportional to 164,515.30, 230,846.30 and 164,515.30

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Solution

The fourth proportional to 164,515.30, 230,846.30 and 164,515.30 is: 230,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,515.30 : 230,846.30 = 164,515.30 : x
  2. Step 2: Convert to fraction form
    164,515.30/230,846.30 = 164,515.30/x
  3. Step 3: Cross multiply
    164,515.30x = 230,846.30 × 164,515.30
  4. Step 4: Simplify right side
    164,515.30x = 37,977,748,298.39
  5. Step 5: Solve for x
    x = 37,977,748,298.39/164,515.30
  6. Step 6: Final answer
    x = 230,846.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.