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Finding the Fourth Proportional to 188,454.48, 260,068.80 and 102,413.45

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Solution

The fourth proportional to 188,454.48, 260,068.80 and 102,413.45 is: 141,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,454.48 : 260,068.80 = 102,413.45 : x
  2. Step 2: Convert to fraction form
    188,454.48/260,068.80 = 102,413.45/x
  3. Step 3: Cross multiply
    188,454.48x = 260,068.80 × 102,413.45
  4. Step 4: Simplify right side
    188,454.48x = 26,634,541,745.02
  5. Step 5: Solve for x
    x = 26,634,541,745.02/188,454.48
  6. Step 6: Final answer
    x = 141,331.43

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1.5x scale

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.