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Finding the Fourth Proportional to 212,698.41, 319,047.35 and 54,926.07

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Solution

The fourth proportional to 212,698.41, 319,047.35 and 54,926.07 is: 82,389.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,698.41 : 319,047.35 = 54,926.07 : x
  2. Step 2: Convert to fraction form
    212,698.41/319,047.35 = 54,926.07/x
  3. Step 3: Cross multiply
    212,698.41x = 319,047.35 × 54,926.07
  4. Step 4: Simplify right side
    212,698.41x = 17,524,016,804.78
  5. Step 5: Solve for x
    x = 17,524,016,804.78/212,698.41
  6. Step 6: Final answer
    x = 82,389.04

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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.