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Finding the Fourth Proportional to 210,133.34, 315,012.77 and 76,982.46

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Solution

The fourth proportional to 210,133.34, 315,012.77 and 76,982.46 is: 115,405.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,133.34 : 315,012.77 = 76,982.46 : x
  2. Step 2: Convert to fraction form
    210,133.34/315,012.77 = 76,982.46/x
  3. Step 3: Cross multiply
    210,133.34x = 315,012.77 × 76,982.46
  4. Step 4: Simplify right side
    210,133.34x = 24,250,457,370.07
  5. Step 5: Solve for x
    x = 24,250,457,370.07/210,133.34
  6. Step 6: Final answer
    x = 115,405.09

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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.