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Finding the Fourth Proportional to 174,602.31, 261,903.45 and 49,943.31

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Solution

The fourth proportional to 174,602.31, 261,903.45 and 49,943.31 is: 74,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,602.31 : 261,903.45 = 49,943.31 : x
  2. Step 2: Convert to fraction form
    174,602.31/261,903.45 = 49,943.31/x
  3. Step 3: Cross multiply
    174,602.31x = 261,903.45 × 49,943.31
  4. Step 4: Simplify right side
    174,602.31x = 13,080,325,193.42
  5. Step 5: Solve for x
    x = 13,080,325,193.42/174,602.31
  6. Step 6: Final answer
    x = 74,914.96

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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.