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Finding the Fourth Proportional to 210,500.70, 290,495.07 and 115,013.40

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Solution

The fourth proportional to 210,500.70, 290,495.07 and 115,013.40 is: 158,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,500.70 : 290,495.07 = 115,013.40 : x
  2. Step 2: Convert to fraction form
    210,500.70/290,495.07 = 115,013.40/x
  3. Step 3: Cross multiply
    210,500.70x = 290,495.07 × 115,013.40
  4. Step 4: Simplify right side
    210,500.70x = 33,410,825,683.94
  5. Step 5: Solve for x
    x = 33,410,825,683.94/210,500.70
  6. Step 6: Final answer
    x = 158,720.73

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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.