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Finding the Fourth Proportional to 130,553.84, 180,223.34 and 82,226.80

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Solution

The fourth proportional to 130,553.84, 180,223.34 and 82,226.80 is: 113,510.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,553.84 : 180,223.34 = 82,226.80 : x
  2. Step 2: Convert to fraction form
    130,553.84/180,223.34 = 82,226.80/x
  3. Step 3: Cross multiply
    130,553.84x = 180,223.34 × 82,226.80
  4. Step 4: Simplify right side
    130,553.84x = 14,819,188,533.51
  5. Step 5: Solve for x
    x = 14,819,188,533.51/130,553.84
  6. Step 6: Final answer
    x = 113,510.17

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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.