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Finding the Fourth Proportional to 164,082.30, 246,220.65 and 119,597.10

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Solution

The fourth proportional to 164,082.30, 246,220.65 and 119,597.10 is: 179,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,082.30 : 246,220.65 = 119,597.10 : x
  2. Step 2: Convert to fraction form
    164,082.30/246,220.65 = 119,597.10/x
  3. Step 3: Cross multiply
    164,082.30x = 246,220.65 × 119,597.10
  4. Step 4: Simplify right side
    164,082.30x = 29,447,275,700.12
  5. Step 5: Solve for x
    x = 29,447,275,700.12/164,082.30
  6. Step 6: Final answer
    x = 179,466.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.