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Finding the Fourth Proportional to 164,497.32, 226,993.86 and 92,867.40

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Solution

The fourth proportional to 164,497.32, 226,993.86 and 92,867.40 is: 128,149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,497.32 : 226,993.86 = 92,867.40 : x
  2. Step 2: Convert to fraction form
    164,497.32/226,993.86 = 92,867.40/x
  3. Step 3: Cross multiply
    164,497.32x = 226,993.86 × 92,867.40
  4. Step 4: Simplify right side
    164,497.32x = 21,080,329,594.16
  5. Step 5: Solve for x
    x = 21,080,329,594.16/164,497.32
  6. Step 6: Final answer
    x = 128,149.99

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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.