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Finding the Fourth Proportional to 210,103.60, 315,174.96 and 83,713.36

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Solution

The fourth proportional to 210,103.60, 315,174.96 and 83,713.36 is: 125,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,103.60 : 315,174.96 = 83,713.36 : x
  2. Step 2: Convert to fraction form
    210,103.60/315,174.96 = 83,713.36/x
  3. Step 3: Cross multiply
    210,103.60x = 315,174.96 × 83,713.36
  4. Step 4: Simplify right side
    210,103.60x = 26,384,354,889.47
  5. Step 5: Solve for x
    x = 26,384,354,889.47/210,103.60
  6. Step 6: Final answer
    x = 125,577.83

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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.