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Finding the Fourth Proportional to 256,164.39, 353,681.24 and 165,739.23

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Solution

The fourth proportional to 256,164.39, 353,681.24 and 165,739.23 is: 228,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,164.39 : 353,681.24 = 165,739.23 : x
  2. Step 2: Convert to fraction form
    256,164.39/353,681.24 = 165,739.23/x
  3. Step 3: Cross multiply
    256,164.39x = 353,681.24 × 165,739.23
  4. Step 4: Simplify right side
    256,164.39x = 58,618,855,554.35
  5. Step 5: Solve for x
    x = 58,618,855,554.35/256,164.39
  6. Step 6: Final answer
    x = 228,832.96

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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.