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Finding the Fourth Proportional to 172,978.50, 259,468.02 and 48,319.50

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Solution

The fourth proportional to 172,978.50, 259,468.02 and 48,319.50 is: 72,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,978.50 : 259,468.02 = 48,319.50 : x
  2. Step 2: Convert to fraction form
    172,978.50/259,468.02 = 48,319.50/x
  3. Step 3: Cross multiply
    172,978.50x = 259,468.02 × 48,319.50
  4. Step 4: Simplify right side
    172,978.50x = 12,537,364,992.39
  5. Step 5: Solve for x
    x = 12,537,364,992.39/172,978.50
  6. Step 6: Final answer
    x = 72,479.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.