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Finding the Fourth Proportional to 119,413.94, 164,791.53 and 65,702.84

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Solution

The fourth proportional to 119,413.94, 164,791.53 and 65,702.84 is: 90,670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,413.94 : 164,791.53 = 65,702.84 : x
  2. Step 2: Convert to fraction form
    119,413.94/164,791.53 = 65,702.84/x
  3. Step 3: Cross multiply
    119,413.94x = 164,791.53 × 65,702.84
  4. Step 4: Simplify right side
    119,413.94x = 10,827,270,704.99
  5. Step 5: Solve for x
    x = 10,827,270,704.99/119,413.94
  6. Step 6: Final answer
    x = 90,670.08

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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.