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Finding the Fourth Proportional to 213,761.80, 320,642.70 and 56,006.20

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Solution

The fourth proportional to 213,761.80, 320,642.70 and 56,006.20 is: 84,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,761.80 : 320,642.70 = 56,006.20 : x
  2. Step 2: Convert to fraction form
    213,761.80/320,642.70 = 56,006.20/x
  3. Step 3: Cross multiply
    213,761.80x = 320,642.70 × 56,006.20
  4. Step 4: Simplify right side
    213,761.80x = 17,957,979,184.74
  5. Step 5: Solve for x
    x = 17,957,979,184.74/213,761.80
  6. Step 6: Final answer
    x = 84,009.30

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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.