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Finding the Fourth Proportional to 174,434.63, 261,654.37 and 49,775.63

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Solution

The fourth proportional to 174,434.63, 261,654.37 and 49,775.63 is: 74,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,434.63 : 261,654.37 = 49,775.63 : x
  2. Step 2: Convert to fraction form
    174,434.63/261,654.37 = 49,775.63/x
  3. Step 3: Cross multiply
    174,434.63x = 261,654.37 × 49,775.63
  4. Step 4: Simplify right side
    174,434.63x = 13,024,009,676.29
  5. Step 5: Solve for x
    x = 13,024,009,676.29/174,434.63
  6. Step 6: Final answer
    x = 74,664.13

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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.