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Finding the Fourth Proportional to 200,476.94, 299,884.34 and 152,730.78

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Solution

The fourth proportional to 200,476.94, 299,884.34 and 152,730.78 is: 228,463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,476.94 : 299,884.34 = 152,730.78 : x
  2. Step 2: Convert to fraction form
    200,476.94/299,884.34 = 152,730.78/x
  3. Step 3: Cross multiply
    200,476.94x = 299,884.34 × 152,730.78
  4. Step 4: Simplify right side
    200,476.94x = 45,801,568,415.25
  5. Step 5: Solve for x
    x = 45,801,568,415.25/200,476.94
  6. Step 6: Final answer
    x = 228,463.03

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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.