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Finding the Fourth Proportional to 164,434.60, 246,767.10 and 105,413.80

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Solution

The fourth proportional to 164,434.60, 246,767.10 and 105,413.80 is: 158,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,434.60 : 246,767.10 = 105,413.80 : x
  2. Step 2: Convert to fraction form
    164,434.60/246,767.10 = 105,413.80/x
  3. Step 3: Cross multiply
    164,434.60x = 246,767.10 × 105,413.80
  4. Step 4: Simplify right side
    164,434.60x = 26,012,657,725.98
  5. Step 5: Solve for x
    x = 26,012,657,725.98/164,434.60
  6. Step 6: Final answer
    x = 158,194.55

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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.