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Finding the Fourth Proportional to 178,205.58, 245,931.80 and 101,745.36

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Solution

The fourth proportional to 178,205.58, 245,931.80 and 101,745.36 is: 140,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,205.58 : 245,931.80 = 101,745.36 : x
  2. Step 2: Convert to fraction form
    178,205.58/245,931.80 = 101,745.36/x
  3. Step 3: Cross multiply
    178,205.58x = 245,931.80 × 101,745.36
  4. Step 4: Simplify right side
    178,205.58x = 25,022,419,017.72
  5. Step 5: Solve for x
    x = 25,022,419,017.72/178,205.58
  6. Step 6: Final answer
    x = 140,413.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.