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Finding the Fourth Proportional to 194,737.50, 268,738.56 and 105,313.50

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Solution

The fourth proportional to 194,737.50, 268,738.56 and 105,313.50 is: 145,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,737.50 : 268,738.56 = 105,313.50 : x
  2. Step 2: Convert to fraction form
    194,737.50/268,738.56 = 105,313.50/x
  3. Step 3: Cross multiply
    194,737.50x = 268,738.56 × 105,313.50
  4. Step 4: Simplify right side
    194,737.50x = 28,301,798,338.56
  5. Step 5: Solve for x
    x = 28,301,798,338.56/194,737.50
  6. Step 6: Final answer
    x = 145,333.07

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