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Finding the Fourth Proportional to 210,316.38, 315,212.13 and 105,165.42

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Solution

The fourth proportional to 210,316.38, 315,212.13 and 105,165.42 is: 157,616.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,316.38 : 315,212.13 = 105,165.42 : x
  2. Step 2: Convert to fraction form
    210,316.38/315,212.13 = 105,165.42/x
  3. Step 3: Cross multiply
    210,316.38x = 315,212.13 × 105,165.42
  4. Step 4: Simplify right side
    210,316.38x = 33,149,416,040.54
  5. Step 5: Solve for x
    x = 33,149,416,040.54/210,316.38
  6. Step 6: Final answer
    x = 157,616.90

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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.