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Finding the Fourth Proportional to 189,918.28, 262,085.70 and 105,033.16

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Solution

The fourth proportional to 189,918.28, 262,085.70 and 105,033.16 is: 144,944.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,918.28 : 262,085.70 = 105,033.16 : x
  2. Step 2: Convert to fraction form
    189,918.28/262,085.70 = 105,033.16/x
  3. Step 3: Cross multiply
    189,918.28x = 262,085.70 × 105,033.16
  4. Step 4: Simplify right side
    189,918.28x = 27,527,689,261.81
  5. Step 5: Solve for x
    x = 27,527,689,261.81/189,918.28
  6. Step 6: Final answer
    x = 144,944.92

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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.