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Finding the Fourth Proportional to 212,939.80, 319,409.70 and 119,433.40

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Solution

The fourth proportional to 212,939.80, 319,409.70 and 119,433.40 is: 179,150.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,939.80 : 319,409.70 = 119,433.40 : x
  2. Step 2: Convert to fraction form
    212,939.80/319,409.70 = 119,433.40/x
  3. Step 3: Cross multiply
    212,939.80x = 319,409.70 × 119,433.40
  4. Step 4: Simplify right side
    212,939.80x = 38,148,186,463.98
  5. Step 5: Solve for x
    x = 38,148,186,463.98/212,939.80
  6. Step 6: Final answer
    x = 179,150.10

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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.