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Finding the Fourth Proportional to 133,630.97, 184,413.72 and 76,269.14

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Solution

The fourth proportional to 133,630.97, 184,413.72 and 76,269.14 is: 105,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,630.97 : 184,413.72 = 76,269.14 : x
  2. Step 2: Convert to fraction form
    133,630.97/184,413.72 = 76,269.14/x
  3. Step 3: Cross multiply
    133,630.97x = 184,413.72 × 76,269.14
  4. Step 4: Simplify right side
    133,630.97x = 14,065,075,828.60
  5. Step 5: Solve for x
    x = 14,065,075,828.60/133,630.97
  6. Step 6: Final answer
    x = 105,253.11

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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.