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Finding the Fourth Proportional to 264,308.88, 364,748.88 and 143,451.24

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Solution

The fourth proportional to 264,308.88, 364,748.88 and 143,451.24 is: 197,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,308.88 : 364,748.88 = 143,451.24 : x
  2. Step 2: Convert to fraction form
    264,308.88/364,748.88 = 143,451.24/x
  3. Step 3: Cross multiply
    264,308.88x = 364,748.88 × 143,451.24
  4. Step 4: Simplify right side
    264,308.88x = 52,323,679,124.61
  5. Step 5: Solve for x
    x = 52,323,679,124.61/264,308.88
  6. Step 6: Final answer
    x = 197,964.14

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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.