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Finding the Fourth Proportional to 140,185.64, 193,453.14 and 76,524.50

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Solution

The fourth proportional to 140,185.64, 193,453.14 and 76,524.50 is: 105,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,185.64 : 193,453.14 = 76,524.50 : x
  2. Step 2: Convert to fraction form
    140,185.64/193,453.14 = 76,524.50/x
  3. Step 3: Cross multiply
    140,185.64x = 193,453.14 × 76,524.50
  4. Step 4: Simplify right side
    140,185.64x = 14,803,904,811.93
  5. Step 5: Solve for x
    x = 14,803,904,811.93/140,185.64
  6. Step 6: Final answer
    x = 105,602.15

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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.