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Finding the Fourth Proportional to 256,489.32, 353,954.52 and 143,312.16

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Solution

The fourth proportional to 256,489.32, 353,954.52 and 143,312.16 is: 197,770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,489.32 : 353,954.52 = 143,312.16 : x
  2. Step 2: Convert to fraction form
    256,489.32/353,954.52 = 143,312.16/x
  3. Step 3: Cross multiply
    256,489.32x = 353,954.52 × 143,312.16
  4. Step 4: Simplify right side
    256,489.32x = 50,725,986,802.96
  5. Step 5: Solve for x
    x = 50,725,986,802.96/256,489.32
  6. Step 6: Final answer
    x = 197,770.37

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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.