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Finding the Fourth Proportional to 102,942.90, 154,414.35 and 47,538.90

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Solution

The fourth proportional to 102,942.90, 154,414.35 and 47,538.90 is: 71,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,942.90 : 154,414.35 = 47,538.90 : x
  2. Step 2: Convert to fraction form
    102,942.90/154,414.35 = 47,538.90/x
  3. Step 3: Cross multiply
    102,942.90x = 154,414.35 × 47,538.90
  4. Step 4: Simplify right side
    102,942.90x = 7,340,688,343.22
  5. Step 5: Solve for x
    x = 7,340,688,343.22/102,942.90
  6. Step 6: Final answer
    x = 71,308.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.