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Finding the Fourth Proportional to 174,107.80, 260,816.10 and 95,080.60

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Solution

The fourth proportional to 174,107.80, 260,816.10 and 95,080.60 is: 142,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,107.80 : 260,816.10 = 95,080.60 : x
  2. Step 2: Convert to fraction form
    174,107.80/260,816.10 = 95,080.60/x
  3. Step 3: Cross multiply
    174,107.80x = 260,816.10 × 95,080.60
  4. Step 4: Simplify right side
    174,107.80x = 24,798,551,277.66
  5. Step 5: Solve for x
    x = 24,798,551,277.66/174,107.80
  6. Step 6: Final answer
    x = 142,432.17

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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.