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Finding the Fourth Proportional to 189,270, 283,953 and 70,941.68

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Solution

The fourth proportional to 189,270, 283,953 and 70,941.68 is: 106,430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,270 : 283,953 = 70,941.68 : x
  2. Step 2: Convert to fraction form
    189,270/283,953 = 70,941.68/x
  3. Step 3: Cross multiply
    189,270x = 283,953 × 70,941.68
  4. Step 4: Simplify right side
    189,270x = 20,144,102,861.04
  5. Step 5: Solve for x
    x = 20,144,102,861.04/189,270
  6. Step 6: Final answer
    x = 106,430.51

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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.