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Finding the Fourth Proportional to 264,283.81, 364,714.34 and 143,426.14

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Solution

The fourth proportional to 264,283.81, 364,714.34 and 143,426.14 is: 197,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,283.81 : 364,714.34 = 143,426.14 : x
  2. Step 2: Convert to fraction form
    264,283.81/364,714.34 = 143,426.14/x
  3. Step 3: Cross multiply
    264,283.81x = 364,714.34 × 143,426.14
  4. Step 4: Simplify right side
    264,283.81x = 52,309,568,359.93
  5. Step 5: Solve for x
    x = 52,309,568,359.93/264,283.81
  6. Step 6: Final answer
    x = 197,929.52

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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.