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Finding the Fourth Proportional to 215,867.76, 323,605.62 and 75,549.84

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Solution

The fourth proportional to 215,867.76, 323,605.62 and 75,549.84 is: 113,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,867.76 : 323,605.62 = 75,549.84 : x
  2. Step 2: Convert to fraction form
    215,867.76/323,605.62 = 75,549.84/x
  3. Step 3: Cross multiply
    215,867.76x = 323,605.62 × 75,549.84
  4. Step 4: Simplify right side
    215,867.76x = 24,448,352,814.10
  5. Step 5: Solve for x
    x = 24,448,352,814.10/215,867.76
  6. Step 6: Final answer
    x = 113,256.16

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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.