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Finding the Fourth Proportional to 256,012.87, 353,213.47 and 165,422.17

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Solution

The fourth proportional to 256,012.87, 353,213.47 and 165,422.17 is: 228,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,012.87 : 353,213.47 = 165,422.17 : x
  2. Step 2: Convert to fraction form
    256,012.87/353,213.47 = 165,422.17/x
  3. Step 3: Cross multiply
    256,012.87x = 353,213.47 × 165,422.17
  4. Step 4: Simplify right side
    256,012.87x = 58,429,338,680.63
  5. Step 5: Solve for x
    x = 58,429,338,680.63/256,012.87
  6. Step 6: Final answer
    x = 228,228.13

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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.