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Finding the Fourth Proportional to 130,709.70, 196,014.74 and 55,864.49

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Solution

The fourth proportional to 130,709.70, 196,014.74 and 55,864.49 is: 83,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,709.70 : 196,014.74 = 55,864.49 : x
  2. Step 2: Convert to fraction form
    130,709.70/196,014.74 = 55,864.49/x
  3. Step 3: Cross multiply
    130,709.70x = 196,014.74 × 55,864.49
  4. Step 4: Simplify right side
    130,709.70x = 10,950,262,223.19
  5. Step 5: Solve for x
    x = 10,950,262,223.19/130,709.70
  6. Step 6: Final answer
    x = 83,775.44

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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.