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Finding the Fourth Proportional to 190,833.93, 263,359.05 and 105,951

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Solution

The fourth proportional to 190,833.93, 263,359.05 and 105,951 is: 146,216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,833.93 : 263,359.05 = 105,951 : x
  2. Step 2: Convert to fraction form
    190,833.93/263,359.05 = 105,951/x
  3. Step 3: Cross multiply
    190,833.93x = 263,359.05 × 105,951
  4. Step 4: Simplify right side
    190,833.93x = 27,903,154,706.55
  5. Step 5: Solve for x
    x = 27,903,154,706.55/190,833.93
  6. Step 6: Final answer
    x = 146,216.95

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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.