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Finding the Fourth Proportional to 256,062.40, 353,330.80 and 142,863.20

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Solution

The fourth proportional to 256,062.40, 353,330.80 and 142,863.20 is: 197,131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,062.40 : 353,330.80 = 142,863.20 : x
  2. Step 2: Convert to fraction form
    256,062.40/353,330.80 = 142,863.20/x
  3. Step 3: Cross multiply
    256,062.40x = 353,330.80 × 142,863.20
  4. Step 4: Simplify right side
    256,062.40x = 50,477,968,746.56
  5. Step 5: Solve for x
    x = 50,477,968,746.56/256,062.40
  6. Step 6: Final answer
    x = 197,131.51

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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.