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Finding the Fourth Proportional to 260,470.14, 390,199.65 and 191,957.25

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Solution

The fourth proportional to 260,470.14, 390,199.65 and 191,957.25 is: 287,563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,470.14 : 390,199.65 = 191,957.25 : x
  2. Step 2: Convert to fraction form
    260,470.14/390,199.65 = 191,957.25/x
  3. Step 3: Cross multiply
    260,470.14x = 390,199.65 × 191,957.25
  4. Step 4: Simplify right side
    260,470.14x = 74,901,651,764.96
  5. Step 5: Solve for x
    x = 74,901,651,764.96/260,470.14
  6. Step 6: Final answer
    x = 287,563.30

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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.