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Finding the Fourth Proportional to 264,271.30, 364,609.56 and 147,967.66

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Solution

The fourth proportional to 264,271.30, 364,609.56 and 147,967.66 is: 204,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,271.30 : 364,609.56 = 147,967.66 : x
  2. Step 2: Convert to fraction form
    264,271.30/364,609.56 = 147,967.66/x
  3. Step 3: Cross multiply
    264,271.30x = 364,609.56 × 147,967.66
  4. Step 4: Simplify right side
    264,271.30x = 53,950,423,406.83
  5. Step 5: Solve for x
    x = 53,950,423,406.83/264,271.30
  6. Step 6: Final answer
    x = 204,147.87

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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.