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Finding the Fourth Proportional to 174,296.81, 261,489.06 and 49,637.81

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Solution

The fourth proportional to 174,296.81, 261,489.06 and 49,637.81 is: 74,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,296.81 : 261,489.06 = 49,637.81 : x
  2. Step 2: Convert to fraction form
    174,296.81/261,489.06 = 49,637.81/x
  3. Step 3: Cross multiply
    174,296.81x = 261,489.06 × 49,637.81
  4. Step 4: Simplify right side
    174,296.81x = 12,979,744,931.08
  5. Step 5: Solve for x
    x = 12,979,744,931.08/174,296.81
  6. Step 6: Final answer
    x = 74,469.20

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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.