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Finding the Fourth Proportional to 213,967.20, 320,950.80 and 210,856.80

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Solution

The fourth proportional to 213,967.20, 320,950.80 and 210,856.80 is: 316,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,967.20 : 320,950.80 = 210,856.80 : x
  2. Step 2: Convert to fraction form
    213,967.20/320,950.80 = 210,856.80/x
  3. Step 3: Cross multiply
    213,967.20x = 320,950.80 × 210,856.80
  4. Step 4: Simplify right side
    213,967.20x = 67,674,658,645.44
  5. Step 5: Solve for x
    x = 67,674,658,645.44/213,967.20
  6. Step 6: Final answer
    x = 316,285.20

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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.