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Finding the Fourth Proportional to 189,615.60, 284,423.40 and 106,498.80

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Solution

The fourth proportional to 189,615.60, 284,423.40 and 106,498.80 is: 159,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,615.60 : 284,423.40 = 106,498.80 : x
  2. Step 2: Convert to fraction form
    189,615.60/284,423.40 = 106,498.80/x
  3. Step 3: Cross multiply
    189,615.60x = 284,423.40 × 106,498.80
  4. Step 4: Simplify right side
    189,615.60x = 30,290,750,791.92
  5. Step 5: Solve for x
    x = 30,290,750,791.92/189,615.60
  6. Step 6: Final answer
    x = 159,748.20

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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.