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Finding the Fourth Proportional to 189,301, 283,868.34 and 70,889.30

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Solution

The fourth proportional to 189,301, 283,868.34 and 70,889.30 is: 106,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,301 : 283,868.34 = 70,889.30 : x
  2. Step 2: Convert to fraction form
    189,301/283,868.34 = 70,889.30/x
  3. Step 3: Cross multiply
    189,301x = 283,868.34 × 70,889.30
  4. Step 4: Simplify right side
    189,301x = 20,123,227,914.76
  5. Step 5: Solve for x
    x = 20,123,227,914.76/189,301
  6. Step 6: Final answer
    x = 106,302.81

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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.