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Finding the Fourth Proportional to 130,764.50, 196,146.74 and 37,267.82

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Solution

The fourth proportional to 130,764.50, 196,146.74 and 37,267.82 is: 55,901.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,764.50 : 196,146.74 = 37,267.82 : x
  2. Step 2: Convert to fraction form
    130,764.50/196,146.74 = 37,267.82/x
  3. Step 3: Cross multiply
    130,764.50x = 196,146.74 × 37,267.82
  4. Step 4: Simplify right side
    130,764.50x = 7,309,960,419.17
  5. Step 5: Solve for x
    x = 7,309,960,419.17/130,764.50
  6. Step 6: Final answer
    x = 55,901.72

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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.