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Finding the Fourth Proportional to 145,182, 217,568.64 and 115,467.96

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Solution

The fourth proportional to 145,182, 217,568.64 and 115,467.96 is: 173,039.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,182 : 217,568.64 = 115,467.96 : x
  2. Step 2: Convert to fraction form
    145,182/217,568.64 = 115,467.96/x
  3. Step 3: Cross multiply
    145,182x = 217,568.64 × 115,467.96
  4. Step 4: Simplify right side
    145,182x = 25,122,207,020.77
  5. Step 5: Solve for x
    x = 25,122,207,020.77/145,182
  6. Step 6: Final answer
    x = 173,039.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.