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Finding the Fourth Proportional to 78,644.40, 110,413.20 and 78,644.40

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Solution

The fourth proportional to 78,644.40, 110,413.20 and 78,644.40 is: 110,413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,644.40 : 110,413.20 = 78,644.40 : x
  2. Step 2: Convert to fraction form
    78,644.40/110,413.20 = 78,644.40/x
  3. Step 3: Cross multiply
    78,644.40x = 110,413.20 × 78,644.40
  4. Step 4: Simplify right side
    78,644.40x = 8,683,379,866.08
  5. Step 5: Solve for x
    x = 8,683,379,866.08/78,644.40
  6. Step 6: Final answer
    x = 110,413.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.