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Finding the Fourth Proportional to 185,629.40, 278,298.30 and 102,523.40

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Solution

The fourth proportional to 185,629.40, 278,298.30 and 102,523.40 is: 153,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,629.40 : 278,298.30 = 102,523.40 : x
  2. Step 2: Convert to fraction form
    185,629.40/278,298.30 = 102,523.40/x
  3. Step 3: Cross multiply
    185,629.40x = 278,298.30 × 102,523.40
  4. Step 4: Simplify right side
    185,629.40x = 28,532,087,930.22
  5. Step 5: Solve for x
    x = 28,532,087,930.22/185,629.40
  6. Step 6: Final answer
    x = 153,704.57

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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.