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Finding the Fourth Proportional to 106,047.35, 146,330.12 and 62,413.96

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Solution

The fourth proportional to 106,047.35, 146,330.12 and 62,413.96 is: 86,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,047.35 : 146,330.12 = 62,413.96 : x
  2. Step 2: Convert to fraction form
    106,047.35/146,330.12 = 62,413.96/x
  3. Step 3: Cross multiply
    106,047.35x = 146,330.12 × 62,413.96
  4. Step 4: Simplify right side
    106,047.35x = 9,133,042,454.18
  5. Step 5: Solve for x
    x = 9,133,042,454.18/106,047.35
  6. Step 6: Final answer
    x = 86,122.30

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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.