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Finding the Fourth Proportional to 256,206.88, 353,730.12 and 165,701.60

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Solution

The fourth proportional to 256,206.88, 353,730.12 and 165,701.60 is: 228,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,206.88 : 353,730.12 = 165,701.60 : x
  2. Step 2: Convert to fraction form
    256,206.88/353,730.12 = 165,701.60/x
  3. Step 3: Cross multiply
    256,206.88x = 353,730.12 × 165,701.60
  4. Step 4: Simplify right side
    256,206.88x = 58,613,646,852.19
  5. Step 5: Solve for x
    x = 58,613,646,852.19/256,206.88
  6. Step 6: Final answer
    x = 228,774.68

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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.