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Finding the Fourth Proportional to 164,082.90, 230,415.90 and 164,082.90

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Solution

The fourth proportional to 164,082.90, 230,415.90 and 164,082.90 is: 230,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,082.90 : 230,415.90 = 164,082.90 : x
  2. Step 2: Convert to fraction form
    164,082.90/230,415.90 = 164,082.90/x
  3. Step 3: Cross multiply
    164,082.90x = 230,415.90 × 164,082.90
  4. Step 4: Simplify right side
    164,082.90x = 37,807,309,078.11
  5. Step 5: Solve for x
    x = 37,807,309,078.11/164,082.90
  6. Step 6: Final answer
    x = 230,415.90

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1.5x scale

Why These Related Problems?

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