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Finding the Fourth Proportional to 264,359.34, 364,806 and 143,498.04

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Solution

The fourth proportional to 264,359.34, 364,806 and 143,498.04 is: 198,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,359.34 : 364,806 = 143,498.04 : x
  2. Step 2: Convert to fraction form
    264,359.34/364,806 = 143,498.04/x
  3. Step 3: Cross multiply
    264,359.34x = 364,806 × 143,498.04
  4. Step 4: Simplify right side
    264,359.34x = 52,348,945,980.24
  5. Step 5: Solve for x
    x = 52,348,945,980.24/264,359.34
  6. Step 6: Final answer
    x = 198,021.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.