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Finding the Fourth Proportional to 169,112.10, 233,413.06 and 105,437.60

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Solution

The fourth proportional to 169,112.10, 233,413.06 and 105,437.60 is: 145,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,112.10 : 233,413.06 = 105,437.60 : x
  2. Step 2: Convert to fraction form
    169,112.10/233,413.06 = 105,437.60/x
  3. Step 3: Cross multiply
    169,112.10x = 233,413.06 × 105,437.60
  4. Step 4: Simplify right side
    169,112.10x = 24,610,512,855.06
  5. Step 5: Solve for x
    x = 24,610,512,855.06/169,112.10
  6. Step 6: Final answer
    x = 145,527.81

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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.