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Finding the Fourth Proportional to 174,403, 261,607.02 and 49,744

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Solution

The fourth proportional to 174,403, 261,607.02 and 49,744 is: 74,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,403 : 261,607.02 = 49,744 : x
  2. Step 2: Convert to fraction form
    174,403/261,607.02 = 49,744/x
  3. Step 3: Cross multiply
    174,403x = 261,607.02 × 49,744
  4. Step 4: Simplify right side
    174,403x = 13,013,379,602.88
  5. Step 5: Solve for x
    x = 13,013,379,602.88/174,403
  6. Step 6: Final answer
    x = 74,616.72

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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.