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Finding the Fourth Proportional to 105,292.68, 145,303.64 and 57,546.37

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Solution

The fourth proportional to 105,292.68, 145,303.64 and 57,546.37 is: 79,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,292.68 : 145,303.64 = 57,546.37 : x
  2. Step 2: Convert to fraction form
    105,292.68/145,303.64 = 57,546.37/x
  3. Step 3: Cross multiply
    105,292.68x = 145,303.64 × 57,546.37
  4. Step 4: Simplify right side
    105,292.68x = 8,361,696,322.15
  5. Step 5: Solve for x
    x = 8,361,696,322.15/105,292.68
  6. Step 6: Final answer
    x = 79,413.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.