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Finding the Fourth Proportional to 103,503.60, 155,255.40 and 96,942.60

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Solution

The fourth proportional to 103,503.60, 155,255.40 and 96,942.60 is: 145,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,503.60 : 155,255.40 = 96,942.60 : x
  2. Step 2: Convert to fraction form
    103,503.60/155,255.40 = 96,942.60/x
  3. Step 3: Cross multiply
    103,503.60x = 155,255.40 × 96,942.60
  4. Step 4: Simplify right side
    103,503.60x = 15,050,862,140.04
  5. Step 5: Solve for x
    x = 15,050,862,140.04/103,503.60
  6. Step 6: Final answer
    x = 145,413.90

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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.