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Finding the Fourth Proportional to 110,413.10, 165,631.80 and 40,307.60

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Solution

The fourth proportional to 110,413.10, 165,631.80 and 40,307.60 is: 60,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,413.10 : 165,631.80 = 40,307.60 : x
  2. Step 2: Convert to fraction form
    110,413.10/165,631.80 = 40,307.60/x
  3. Step 3: Cross multiply
    110,413.10x = 165,631.80 × 40,307.60
  4. Step 4: Simplify right side
    110,413.10x = 6,676,220,341.68
  5. Step 5: Solve for x
    x = 6,676,220,341.68/110,413.10
  6. Step 6: Final answer
    x = 60,465.84

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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.