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Finding the Fourth Proportional to 194,745.06, 268,746.66 and 105,321.06

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Solution

The fourth proportional to 194,745.06, 268,746.66 and 105,321.06 is: 145,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,745.06 : 268,746.66 = 105,321.06 : x
  2. Step 2: Convert to fraction form
    194,745.06/268,746.66 = 105,321.06/x
  3. Step 3: Cross multiply
    194,745.06x = 268,746.66 × 105,321.06
  4. Step 4: Simplify right side
    194,745.06x = 28,304,683,102.66
  5. Step 5: Solve for x
    x = 28,304,683,102.66/194,745.06
  6. Step 6: Final answer
    x = 145,342.24

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Why These Related Problems?

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