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Finding the Fourth Proportional to 192,413.94, 265,547.60 and 111,836.32

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Solution

The fourth proportional to 192,413.94, 265,547.60 and 111,836.32 is: 154,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,413.94 : 265,547.60 = 111,836.32 : x
  2. Step 2: Convert to fraction form
    192,413.94/265,547.60 = 111,836.32/x
  3. Step 3: Cross multiply
    192,413.94x = 265,547.60 × 111,836.32
  4. Step 4: Simplify right side
    192,413.94x = 29,697,866,368.83
  5. Step 5: Solve for x
    x = 29,697,866,368.83/192,413.94
  6. Step 6: Final answer
    x = 154,343.63

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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.