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Finding the Fourth Proportional to 174,413.14, 240,661.18 and 102,783.44

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Solution

The fourth proportional to 174,413.14, 240,661.18 and 102,783.44 is: 141,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,413.14 : 240,661.18 = 102,783.44 : x
  2. Step 2: Convert to fraction form
    174,413.14/240,661.18 = 102,783.44/x
  3. Step 3: Cross multiply
    174,413.14x = 240,661.18 × 102,783.44
  4. Step 4: Simplify right side
    174,413.14x = 24,735,983,954.86
  5. Step 5: Solve for x
    x = 24,735,983,954.86/174,413.14
  6. Step 6: Final answer
    x = 141,824.08

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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.