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Finding the Fourth Proportional to 171,056.60, 256,293.30 and 141,313.40

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Solution

The fourth proportional to 171,056.60, 256,293.30 and 141,313.40 is: 211,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,056.60 : 256,293.30 = 141,313.40 : x
  2. Step 2: Convert to fraction form
    171,056.60/256,293.30 = 141,313.40/x
  3. Step 3: Cross multiply
    171,056.60x = 256,293.30 × 141,313.40
  4. Step 4: Simplify right side
    171,056.60x = 36,217,677,620.22
  5. Step 5: Solve for x
    x = 36,217,677,620.22/171,056.60
  6. Step 6: Final answer
    x = 211,729.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.