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Finding the Fourth Proportional to 224,413.84, 336,329.82 and 91,138

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Solution

The fourth proportional to 224,413.84, 336,329.82 and 91,138 is: 136,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,413.84 : 336,329.82 = 91,138 : x
  2. Step 2: Convert to fraction form
    224,413.84/336,329.82 = 91,138/x
  3. Step 3: Cross multiply
    224,413.84x = 336,329.82 × 91,138
  4. Step 4: Simplify right side
    224,413.84x = 30,652,427,135.16
  5. Step 5: Solve for x
    x = 30,652,427,135.16/224,413.84
  6. Step 6: Final answer
    x = 136,588.84

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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.