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Finding the Fourth Proportional to 264,218.00, 364,616.24 and 160,814.81

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Solution

The fourth proportional to 264,218.00, 364,616.24 and 160,814.81 is: 221,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,218.00 : 364,616.24 = 160,814.81 : x
  2. Step 2: Convert to fraction form
    264,218.00/364,616.24 = 160,814.81/x
  3. Step 3: Cross multiply
    264,218.00x = 364,616.24 × 160,814.81
  4. Step 4: Simplify right side
    264,218.00x = 58,635,691,465.98
  5. Step 5: Solve for x
    x = 58,635,691,465.98/264,218.00
  6. Step 6: Final answer
    x = 221,921.64

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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.