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Finding the Fourth Proportional to 174,354.49, 261,531.74 and 49,692.25

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Solution

The fourth proportional to 174,354.49, 261,531.74 and 49,692.25 is: 74,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,354.49 : 261,531.74 = 49,692.25 : x
  2. Step 2: Convert to fraction form
    174,354.49/261,531.74 = 49,692.25/x
  3. Step 3: Cross multiply
    174,354.49x = 261,531.74 × 49,692.25
  4. Step 4: Simplify right side
    174,354.49x = 12,996,100,607.02
  5. Step 5: Solve for x
    x = 12,996,100,607.02/174,354.49
  6. Step 6: Final answer
    x = 74,538.38

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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.