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Finding the Fourth Proportional to 256,970.94, 354,615.61 and 142,247.16

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Solution

The fourth proportional to 256,970.94, 354,615.61 and 142,247.16 is: 196,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,970.94 : 354,615.61 = 142,247.16 : x
  2. Step 2: Convert to fraction form
    256,970.94/354,615.61 = 142,247.16/x
  3. Step 3: Cross multiply
    256,970.94x = 354,615.61 × 142,247.16
  4. Step 4: Simplify right side
    256,970.94x = 50,443,063,058.55
  5. Step 5: Solve for x
    x = 50,443,063,058.55/256,970.94
  6. Step 6: Final answer
    x = 196,298.71

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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.