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Finding the Fourth Proportional to 171,582.60, 257,546.70 and 82,907.40

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Solution

The fourth proportional to 171,582.60, 257,546.70 and 82,907.40 is: 124,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,582.60 : 257,546.70 = 82,907.40 : x
  2. Step 2: Convert to fraction form
    171,582.60/257,546.70 = 82,907.40/x
  3. Step 3: Cross multiply
    171,582.60x = 257,546.70 × 82,907.40
  4. Step 4: Simplify right side
    171,582.60x = 21,352,527,275.58
  5. Step 5: Solve for x
    x = 21,352,527,275.58/171,582.60
  6. Step 6: Final answer
    x = 124,444.60

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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.