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Finding the Fourth Proportional to 127,965.40, 191,948.10 and 112,413.40

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Solution

The fourth proportional to 127,965.40, 191,948.10 and 112,413.40 is: 168,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,965.40 : 191,948.10 = 112,413.40 : x
  2. Step 2: Convert to fraction form
    127,965.40/191,948.10 = 112,413.40/x
  3. Step 3: Cross multiply
    127,965.40x = 191,948.10 × 112,413.40
  4. Step 4: Simplify right side
    127,965.40x = 21,577,538,544.54
  5. Step 5: Solve for x
    x = 21,577,538,544.54/127,965.40
  6. Step 6: Final answer
    x = 168,620.10

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