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Finding the Fourth Proportional to 201,648, 278,274.24 and 112,245.12

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Solution

The fourth proportional to 201,648, 278,274.24 and 112,245.12 is: 154,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,648 : 278,274.24 = 112,245.12 : x
  2. Step 2: Convert to fraction form
    201,648/278,274.24 = 112,245.12/x
  3. Step 3: Cross multiply
    201,648x = 278,274.24 × 112,245.12
  4. Step 4: Simplify right side
    201,648x = 31,234,925,461.71
  5. Step 5: Solve for x
    x = 31,234,925,461.71/201,648
  6. Step 6: Final answer
    x = 154,898.27

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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.