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Finding the Fourth Proportional to 140,088.54, 193,321.74 and 76,425.87

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Solution

The fourth proportional to 140,088.54, 193,321.74 and 76,425.87 is: 105,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,088.54 : 193,321.74 = 76,425.87 : x
  2. Step 2: Convert to fraction form
    140,088.54/193,321.74 = 76,425.87/x
  3. Step 3: Cross multiply
    140,088.54x = 193,321.74 × 76,425.87
  4. Step 4: Simplify right side
    140,088.54x = 14,774,782,169.41
  5. Step 5: Solve for x
    x = 14,774,782,169.41/140,088.54
  6. Step 6: Final answer
    x = 105,467.46

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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.