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Finding the Fourth Proportional to 210,902.10, 291,044.91 and 115,408.80

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Solution

The fourth proportional to 210,902.10, 291,044.91 and 115,408.80 is: 159,264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,902.10 : 291,044.91 = 115,408.80 : x
  2. Step 2: Convert to fraction form
    210,902.10/291,044.91 = 115,408.80/x
  3. Step 3: Cross multiply
    210,902.10x = 291,044.91 × 115,408.80
  4. Step 4: Simplify right side
    210,902.10x = 33,589,143,809.21
  5. Step 5: Solve for x
    x = 33,589,143,809.21/210,902.10
  6. Step 6: Final answer
    x = 159,264.15

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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.