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Finding the Fourth Proportional to 200,130.44, 299,898.59 and 111,261.69

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Solution

The fourth proportional to 200,130.44, 299,898.59 and 111,261.69 is: 166,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,130.44 : 299,898.59 = 111,261.69 : x
  2. Step 2: Convert to fraction form
    200,130.44/299,898.59 = 111,261.69/x
  3. Step 3: Cross multiply
    200,130.44x = 299,898.59 × 111,261.69
  4. Step 4: Simplify right side
    200,130.44x = 33,367,223,395.71
  5. Step 5: Solve for x
    x = 33,367,223,395.71/200,130.44
  6. Step 6: Final answer
    x = 166,727.38

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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.