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Finding the Fourth Proportional to 264,073.56, 364,421.70 and 143,214.84

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Solution

The fourth proportional to 264,073.56, 364,421.70 and 143,214.84 is: 197,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,073.56 : 364,421.70 = 143,214.84 : x
  2. Step 2: Convert to fraction form
    264,073.56/364,421.70 = 143,214.84/x
  3. Step 3: Cross multiply
    264,073.56x = 364,421.70 × 143,214.84
  4. Step 4: Simplify right side
    264,073.56x = 52,190,595,458.03
  5. Step 5: Solve for x
    x = 52,190,595,458.03/264,073.56
  6. Step 6: Final answer
    x = 197,636.58

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1.5x scale

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.