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Finding the Fourth Proportional to 181,584, 250,585.92 and 102,096

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Solution

The fourth proportional to 181,584, 250,585.92 and 102,096 is: 140,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,584 : 250,585.92 = 102,096 : x
  2. Step 2: Convert to fraction form
    181,584/250,585.92 = 102,096/x
  3. Step 3: Cross multiply
    181,584x = 250,585.92 × 102,096
  4. Step 4: Simplify right side
    181,584x = 25,583,820,088.32
  5. Step 5: Solve for x
    x = 25,583,820,088.32/181,584
  6. Step 6: Final answer
    x = 140,892.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.