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Finding the Fourth Proportional to 171,059.40, 256,564.80 and 52,742.70

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Solution

The fourth proportional to 171,059.40, 256,564.80 and 52,742.70 is: 79,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,059.40 : 256,564.80 = 52,742.70 : x
  2. Step 2: Convert to fraction form
    171,059.40/256,564.80 = 52,742.70/x
  3. Step 3: Cross multiply
    171,059.40x = 256,564.80 × 52,742.70
  4. Step 4: Simplify right side
    171,059.40x = 13,531,920,276.96
  5. Step 5: Solve for x
    x = 13,531,920,276.96/171,059.40
  6. Step 6: Final answer
    x = 79,106.56

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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.