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Finding the Fourth Proportional to 210,350.74, 290,284.38 and 114,855.40

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Solution

The fourth proportional to 210,350.74, 290,284.38 and 114,855.40 is: 158,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,350.74 : 290,284.38 = 114,855.40 : x
  2. Step 2: Convert to fraction form
    210,350.74/290,284.38 = 114,855.40/x
  3. Step 3: Cross multiply
    210,350.74x = 290,284.38 × 114,855.40
  4. Step 4: Simplify right side
    210,350.74x = 33,340,728,578.65
  5. Step 5: Solve for x
    x = 33,340,728,578.65/210,350.74
  6. Step 6: Final answer
    x = 158,500.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.