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Finding the Fourth Proportional to 131,068, 196,643.76 and 46,826.56

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Solution

The fourth proportional to 131,068, 196,643.76 and 46,826.56 is: 70,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,068 : 196,643.76 = 46,826.56 : x
  2. Step 2: Convert to fraction form
    131,068/196,643.76 = 46,826.56/x
  3. Step 3: Cross multiply
    131,068x = 196,643.76 × 46,826.56
  4. Step 4: Simplify right side
    131,068x = 9,208,150,826.27
  5. Step 5: Solve for x
    x = 9,208,150,826.27/131,068
  6. Step 6: Final answer
    x = 70,254.76

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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.