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Finding the Fourth Proportional to 194,509.36, 268,422.96 and 105,085.36

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Solution

The fourth proportional to 194,509.36, 268,422.96 and 105,085.36 is: 145,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,509.36 : 268,422.96 = 105,085.36 : x
  2. Step 2: Convert to fraction form
    194,509.36/268,422.96 = 105,085.36/x
  3. Step 3: Cross multiply
    194,509.36x = 268,422.96 × 105,085.36
  4. Step 4: Simplify right side
    194,509.36x = 28,207,323,383.87
  5. Step 5: Solve for x
    x = 28,207,323,383.87/194,509.36
  6. Step 6: Final answer
    x = 145,017.82

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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.