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Finding the Fourth Proportional to 213,461.80, 320,106.30 and 73,148.20

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Solution

The fourth proportional to 213,461.80, 320,106.30 and 73,148.20 is: 109,692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,461.80 : 320,106.30 = 73,148.20 : x
  2. Step 2: Convert to fraction form
    213,461.80/320,106.30 = 73,148.20/x
  3. Step 3: Cross multiply
    213,461.80x = 320,106.30 × 73,148.20
  4. Step 4: Simplify right side
    213,461.80x = 23,415,199,653.66
  5. Step 5: Solve for x
    x = 23,415,199,653.66/213,461.80
  6. Step 6: Final answer
    x = 109,692.69

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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.