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Finding the Fourth Proportional to 102,144.84, 140,959 and 56,821.99

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Solution

The fourth proportional to 102,144.84, 140,959 and 56,821.99 is: 78,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,144.84 : 140,959 = 56,821.99 : x
  2. Step 2: Convert to fraction form
    102,144.84/140,959 = 56,821.99/x
  3. Step 3: Cross multiply
    102,144.84x = 140,959 × 56,821.99
  4. Step 4: Simplify right side
    102,144.84x = 8,009,570,888.41
  5. Step 5: Solve for x
    x = 8,009,570,888.41/102,144.84
  6. Step 6: Final answer
    x = 78,413.86

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