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Finding the Fourth Proportional to 174,943.80, 261,978.30 and 115,457.40

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Solution

The fourth proportional to 174,943.80, 261,978.30 and 115,457.40 is: 172,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,943.80 : 261,978.30 = 115,457.40 : x
  2. Step 2: Convert to fraction form
    174,943.80/261,978.30 = 115,457.40/x
  3. Step 3: Cross multiply
    174,943.80x = 261,978.30 × 115,457.40
  4. Step 4: Simplify right side
    174,943.80x = 30,247,333,374.42
  5. Step 5: Solve for x
    x = 30,247,333,374.42/174,943.80
  6. Step 6: Final answer
    x = 172,897.43

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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.