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Finding the Fourth Proportional to 181,176, 250,014.49 and 100,608.63

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Solution

The fourth proportional to 181,176, 250,014.49 and 100,608.63 is: 138,835.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,176 : 250,014.49 = 100,608.63 : x
  2. Step 2: Convert to fraction form
    181,176/250,014.49 = 100,608.63/x
  3. Step 3: Cross multiply
    181,176x = 250,014.49 × 100,608.63
  4. Step 4: Simplify right side
    181,176x = 25,153,615,319.05
  5. Step 5: Solve for x
    x = 25,153,615,319.05/181,176
  6. Step 6: Final answer
    x = 138,835.25

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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.