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Finding the Fourth Proportional to 210,729.07, 315,760.69 and 171,092.53

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Solution

The fourth proportional to 210,729.07, 315,760.69 and 171,092.53 is: 256,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,729.07 : 315,760.69 = 171,092.53 : x
  2. Step 2: Convert to fraction form
    210,729.07/315,760.69 = 171,092.53/x
  3. Step 3: Cross multiply
    210,729.07x = 315,760.69 × 171,092.53
  4. Step 4: Simplify right side
    210,729.07x = 54,024,295,326.65
  5. Step 5: Solve for x
    x = 54,024,295,326.65/210,729.07
  6. Step 6: Final answer
    x = 256,368.50

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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.