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Finding the Fourth Proportional to 228,822.40, 343,298.40 and 71,066.80

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Solution

The fourth proportional to 228,822.40, 343,298.40 and 71,066.80 is: 106,620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,822.40 : 343,298.40 = 71,066.80 : x
  2. Step 2: Convert to fraction form
    228,822.40/343,298.40 = 71,066.80/x
  3. Step 3: Cross multiply
    228,822.40x = 343,298.40 × 71,066.80
  4. Step 4: Simplify right side
    228,822.40x = 24,397,118,733.12
  5. Step 5: Solve for x
    x = 24,397,118,733.12/228,822.40
  6. Step 6: Final answer
    x = 106,620.33

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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.