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Finding the Fourth Proportional to 223,413.96, 308,303.46 and 122,811.24

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Solution

The fourth proportional to 223,413.96, 308,303.46 and 122,811.24 is: 169,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,413.96 : 308,303.46 = 122,811.24 : x
  2. Step 2: Convert to fraction form
    223,413.96/308,303.46 = 122,811.24/x
  3. Step 3: Cross multiply
    223,413.96x = 308,303.46 × 122,811.24
  4. Step 4: Simplify right side
    223,413.96x = 37,863,130,218.89
  5. Step 5: Solve for x
    x = 37,863,130,218.89/223,413.96
  6. Step 6: Final answer
    x = 169,475.22

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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.