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Finding the Fourth Proportional to 199,323.94, 299,126.01 and 180,266.80

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Solution

The fourth proportional to 199,323.94, 299,126.01 and 180,266.80 is: 270,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,323.94 : 299,126.01 = 180,266.80 : x
  2. Step 2: Convert to fraction form
    199,323.94/299,126.01 = 180,266.80/x
  3. Step 3: Cross multiply
    199,323.94x = 299,126.01 × 180,266.80
  4. Step 4: Simplify right side
    199,323.94x = 53,922,488,619.47
  5. Step 5: Solve for x
    x = 53,922,488,619.47/199,323.94
  6. Step 6: Final answer
    x = 270,526.91

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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.