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Finding the Fourth Proportional to 308,683.79, 463,043.61 and 119,145.23

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Solution

The fourth proportional to 308,683.79, 463,043.61 and 119,145.23 is: 178,724.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,683.79 : 463,043.61 = 119,145.23 : x
  2. Step 2: Convert to fraction form
    308,683.79/463,043.61 = 119,145.23/x
  3. Step 3: Cross multiply
    308,683.79x = 463,043.61 × 119,145.23
  4. Step 4: Simplify right side
    308,683.79x = 55,169,437,413.48
  5. Step 5: Solve for x
    x = 55,169,437,413.48/308,683.79
  6. Step 6: Final answer
    x = 178,724.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.