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Finding the Fourth Proportional to 214,885.80, 322,328.70 and 165,733.80

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Solution

The fourth proportional to 214,885.80, 322,328.70 and 165,733.80 is: 248,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,885.80 : 322,328.70 = 165,733.80 : x
  2. Step 2: Convert to fraction form
    214,885.80/322,328.70 = 165,733.80/x
  3. Step 3: Cross multiply
    214,885.80x = 322,328.70 × 165,733.80
  4. Step 4: Simplify right side
    214,885.80x = 53,420,760,300.06
  5. Step 5: Solve for x
    x = 53,420,760,300.06/214,885.80
  6. Step 6: Final answer
    x = 248,600.70

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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.