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Finding the Fourth Proportional to 171,106.14, 256,659.33 and 46,447.14

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Solution

The fourth proportional to 171,106.14, 256,659.33 and 46,447.14 is: 69,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,106.14 : 256,659.33 = 46,447.14 : x
  2. Step 2: Convert to fraction form
    171,106.14/256,659.33 = 46,447.14/x
  3. Step 3: Cross multiply
    171,106.14x = 256,659.33 × 46,447.14
  4. Step 4: Simplify right side
    171,106.14x = 11,921,091,832.82
  5. Step 5: Solve for x
    x = 11,921,091,832.82/171,106.14
  6. Step 6: Final answer
    x = 69,670.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.