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Finding the Fourth Proportional to 140,100.64, 193,338.60 and 76,438.40

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Solution

The fourth proportional to 140,100.64, 193,338.60 and 76,438.40 is: 105,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,100.64 : 193,338.60 = 76,438.40 : x
  2. Step 2: Convert to fraction form
    140,100.64/193,338.60 = 76,438.40/x
  3. Step 3: Cross multiply
    140,100.64x = 193,338.60 × 76,438.40
  4. Step 4: Simplify right side
    140,100.64x = 14,778,493,242.24
  5. Step 5: Solve for x
    x = 14,778,493,242.24/140,100.64
  6. Step 6: Final answer
    x = 105,484.84

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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.