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Finding the Fourth Proportional to 253,094.67, 349,339.92 and 157,544.64

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Solution

The fourth proportional to 253,094.67, 349,339.92 and 157,544.64 is: 217,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,094.67 : 349,339.92 = 157,544.64 : x
  2. Step 2: Convert to fraction form
    253,094.67/349,339.92 = 157,544.64/x
  3. Step 3: Cross multiply
    253,094.67x = 349,339.92 × 157,544.64
  4. Step 4: Simplify right side
    253,094.67x = 55,036,631,934.03
  5. Step 5: Solve for x
    x = 55,036,631,934.03/253,094.67
  6. Step 6: Final answer
    x = 217,454.73

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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.