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Finding the Fourth Proportional to 200,790.58, 301,204.77 and 143,328.64

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Solution

The fourth proportional to 200,790.58, 301,204.77 and 143,328.64 is: 215,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,790.58 : 301,204.77 = 143,328.64 : x
  2. Step 2: Convert to fraction form
    200,790.58/301,204.77 = 143,328.64/x
  3. Step 3: Cross multiply
    200,790.58x = 301,204.77 × 143,328.64
  4. Step 4: Simplify right side
    200,790.58x = 43,171,270,045.61
  5. Step 5: Solve for x
    x = 43,171,270,045.61/200,790.58
  6. Step 6: Final answer
    x = 215,006.45

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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.