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Finding the Fourth Proportional to 106,413.40, 159,425.70 and 86,584.60

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Solution

The fourth proportional to 106,413.40, 159,425.70 and 86,584.60 is: 129,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,413.40 : 159,425.70 = 86,584.60 : x
  2. Step 2: Convert to fraction form
    106,413.40/159,425.70 = 86,584.60/x
  3. Step 3: Cross multiply
    106,413.40x = 159,425.70 × 86,584.60
  4. Step 4: Simplify right side
    106,413.40x = 13,803,810,464.22
  5. Step 5: Solve for x
    x = 13,803,810,464.22/106,413.40
  6. Step 6: Final answer
    x = 129,718.72

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1.5x scale

Why These Related Problems?

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