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Finding the Fourth Proportional to 264,068.58, 364,414.80 and 143,209.82

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Solution

The fourth proportional to 264,068.58, 364,414.80 and 143,209.82 is: 197,629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,068.58 : 364,414.80 = 143,209.82 : x
  2. Step 2: Convert to fraction form
    264,068.58/364,414.80 = 143,209.82/x
  3. Step 3: Cross multiply
    264,068.58x = 364,414.80 × 143,209.82
  4. Step 4: Simplify right side
    264,068.58x = 52,187,777,913.34
  5. Step 5: Solve for x
    x = 52,187,777,913.34/264,068.58
  6. Step 6: Final answer
    x = 197,629.64

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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.