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Finding the Fourth Proportional to 175,394.77, 242,051.81 and 97,877.18

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Solution

The fourth proportional to 175,394.77, 242,051.81 and 97,877.18 is: 135,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,394.77 : 242,051.81 = 97,877.18 : x
  2. Step 2: Convert to fraction form
    175,394.77/242,051.81 = 97,877.18/x
  3. Step 3: Cross multiply
    175,394.77x = 242,051.81 × 97,877.18
  4. Step 4: Simplify right side
    175,394.77x = 23,691,348,692.44
  5. Step 5: Solve for x
    x = 23,691,348,692.44/175,394.77
  6. Step 6: Final answer
    x = 135,074.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.