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Finding the Fourth Proportional to 227,958, 314,573.52 and 131,176.80

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Solution

The fourth proportional to 227,958, 314,573.52 and 131,176.80 is: 181,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,958 : 314,573.52 = 131,176.80 : x
  2. Step 2: Convert to fraction form
    227,958/314,573.52 = 131,176.80/x
  3. Step 3: Cross multiply
    227,958x = 314,573.52 × 131,176.80
  4. Step 4: Simplify right side
    227,958x = 41,264,747,718.34
  5. Step 5: Solve for x
    x = 41,264,747,718.34/227,958
  6. Step 6: Final answer
    x = 181,019.08

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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.