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Finding the Fourth Proportional to 189,498.36, 283,936.50 and 64,771.32

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Solution

The fourth proportional to 189,498.36, 283,936.50 and 64,771.32 is: 97,050.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,498.36 : 283,936.50 = 64,771.32 : x
  2. Step 2: Convert to fraction form
    189,498.36/283,936.50 = 64,771.32/x
  3. Step 3: Cross multiply
    189,498.36x = 283,936.50 × 64,771.32
  4. Step 4: Simplify right side
    189,498.36x = 18,390,941,901.18
  5. Step 5: Solve for x
    x = 18,390,941,901.18/189,498.36
  6. Step 6: Final answer
    x = 97,050.67

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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.