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Finding the Fourth Proportional to 194,657.40, 291,986.10 and 128,172.60

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Solution

The fourth proportional to 194,657.40, 291,986.10 and 128,172.60 is: 192,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,657.40 : 291,986.10 = 128,172.60 : x
  2. Step 2: Convert to fraction form
    194,657.40/291,986.10 = 128,172.60/x
  3. Step 3: Cross multiply
    194,657.40x = 291,986.10 × 128,172.60
  4. Step 4: Simplify right side
    194,657.40x = 37,424,617,600.86
  5. Step 5: Solve for x
    x = 37,424,617,600.86/194,657.40
  6. Step 6: Final answer
    x = 192,258.90

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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.