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Finding the Fourth Proportional to 210,105, 315,160.25 and 69,863.63

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Solution

The fourth proportional to 210,105, 315,160.25 and 69,863.63 is: 104,796.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,105 : 315,160.25 = 69,863.63 : x
  2. Step 2: Convert to fraction form
    210,105/315,160.25 = 69,863.63/x
  3. Step 3: Cross multiply
    210,105x = 315,160.25 × 69,863.63
  4. Step 4: Simplify right side
    210,105x = 22,018,237,171.59
  5. Step 5: Solve for x
    x = 22,018,237,171.59/210,105
  6. Step 6: Final answer
    x = 104,796.35

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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.