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Finding the Fourth Proportional to 130,413.40, 195,620.10 and 129,635.80

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Solution

The fourth proportional to 130,413.40, 195,620.10 and 129,635.80 is: 194,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,413.40 : 195,620.10 = 129,635.80 : x
  2. Step 2: Convert to fraction form
    130,413.40/195,620.10 = 129,635.80/x
  3. Step 3: Cross multiply
    130,413.40x = 195,620.10 × 129,635.80
  4. Step 4: Simplify right side
    130,413.40x = 25,359,368,159.58
  5. Step 5: Solve for x
    x = 25,359,368,159.58/130,413.40
  6. Step 6: Final answer
    x = 194,453.70

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