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Finding the Fourth Proportional to 213,065.40, 319,379.40 and 124,273.20

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Solution

The fourth proportional to 213,065.40, 319,379.40 and 124,273.20 is: 186,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,065.40 : 319,379.40 = 124,273.20 : x
  2. Step 2: Convert to fraction form
    213,065.40/319,379.40 = 124,273.20/x
  3. Step 3: Cross multiply
    213,065.40x = 319,379.40 × 124,273.20
  4. Step 4: Simplify right side
    213,065.40x = 39,690,300,052.08
  5. Step 5: Solve for x
    x = 39,690,300,052.08/213,065.40
  6. Step 6: Final answer
    x = 186,282.24

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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.