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Finding the Fourth Proportional to 264,315.82, 364,756.17 and 143,457.09

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Solution

The fourth proportional to 264,315.82, 364,756.17 and 143,457.09 is: 197,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,315.82 : 364,756.17 = 143,457.09 : x
  2. Step 2: Convert to fraction form
    264,315.82/364,756.17 = 143,457.09/x
  3. Step 3: Cross multiply
    264,315.82x = 364,756.17 × 143,457.09
  4. Step 4: Simplify right side
    264,315.82x = 52,326,857,990.46
  5. Step 5: Solve for x
    x = 52,326,857,990.46/264,315.82
  6. Step 6: Final answer
    x = 197,970.97

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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.