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Finding the Fourth Proportional to 189,852, 262,000.32 and 122,900.64

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Solution

The fourth proportional to 189,852, 262,000.32 and 122,900.64 is: 169,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,852 : 262,000.32 = 122,900.64 : x
  2. Step 2: Convert to fraction form
    189,852/262,000.32 = 122,900.64/x
  3. Step 3: Cross multiply
    189,852x = 262,000.32 × 122,900.64
  4. Step 4: Simplify right side
    189,852x = 32,200,007,008.20
  5. Step 5: Solve for x
    x = 32,200,007,008.20/189,852
  6. Step 6: Final answer
    x = 169,605.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.