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Finding the Fourth Proportional to 200,214.80, 299,884.80 and 155,490.65

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Solution

The fourth proportional to 200,214.80, 299,884.80 and 155,490.65 is: 232,896.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,214.80 : 299,884.80 = 155,490.65 : x
  2. Step 2: Convert to fraction form
    200,214.80/299,884.80 = 155,490.65/x
  3. Step 3: Cross multiply
    200,214.80x = 299,884.80 × 155,490.65
  4. Step 4: Simplify right side
    200,214.80x = 46,629,282,477.12
  5. Step 5: Solve for x
    x = 46,629,282,477.12/200,214.80
  6. Step 6: Final answer
    x = 232,896.28

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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.