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Finding the Fourth Proportional to 256,203.64, 353,665.24 and 165,567.07

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Solution

The fourth proportional to 256,203.64, 353,665.24 and 165,567.07 is: 228,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,203.64 : 353,665.24 = 165,567.07 : x
  2. Step 2: Convert to fraction form
    256,203.64/353,665.24 = 165,567.07/x
  3. Step 3: Cross multiply
    256,203.64x = 353,665.24 × 165,567.07
  4. Step 4: Simplify right side
    256,203.64x = 58,555,317,575.81
  5. Step 5: Solve for x
    x = 58,555,317,575.81/256,203.64
  6. Step 6: Final answer
    x = 228,549.90

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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.