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Finding the Fourth Proportional to 213,680.64, 320,433.48 and 95,271

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Solution

The fourth proportional to 213,680.64, 320,433.48 and 95,271 is: 142,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,680.64 : 320,433.48 = 95,271 : x
  2. Step 2: Convert to fraction form
    213,680.64/320,433.48 = 95,271/x
  3. Step 3: Cross multiply
    213,680.64x = 320,433.48 × 95,271
  4. Step 4: Simplify right side
    213,680.64x = 30,528,018,073.08
  5. Step 5: Solve for x
    x = 30,528,018,073.08/213,680.64
  6. Step 6: Final answer
    x = 142,867.50

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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.