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Finding the Fourth Proportional to 213,625.20, 320,437.80 and 194,962.80

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Solution

The fourth proportional to 213,625.20, 320,437.80 and 194,962.80 is: 292,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,625.20 : 320,437.80 = 194,962.80 : x
  2. Step 2: Convert to fraction form
    213,625.20/320,437.80 = 194,962.80/x
  3. Step 3: Cross multiply
    213,625.20x = 320,437.80 × 194,962.80
  4. Step 4: Simplify right side
    213,625.20x = 62,473,450,713.84
  5. Step 5: Solve for x
    x = 62,473,450,713.84/213,625.20
  6. Step 6: Final answer
    x = 292,444.20

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1.5x scale

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.