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Finding the Fourth Proportional to 212,939.60, 319,409.40 and 175,614.80

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Solution

The fourth proportional to 212,939.60, 319,409.40 and 175,614.80 is: 263,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,939.60 : 319,409.40 = 175,614.80 : x
  2. Step 2: Convert to fraction form
    212,939.60/319,409.40 = 175,614.80/x
  3. Step 3: Cross multiply
    212,939.60x = 319,409.40 × 175,614.80
  4. Step 4: Simplify right side
    212,939.60x = 56,093,017,899.12
  5. Step 5: Solve for x
    x = 56,093,017,899.12/212,939.60
  6. Step 6: Final answer
    x = 263,422.20

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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.