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Finding the Fourth Proportional to 165,988.82, 229,061.60 and 97,084.94

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Solution

The fourth proportional to 165,988.82, 229,061.60 and 97,084.94 is: 133,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,988.82 : 229,061.60 = 97,084.94 : x
  2. Step 2: Convert to fraction form
    165,988.82/229,061.60 = 97,084.94/x
  3. Step 3: Cross multiply
    165,988.82x = 229,061.60 × 97,084.94
  4. Step 4: Simplify right side
    165,988.82x = 22,238,431,692.30
  5. Step 5: Solve for x
    x = 22,238,431,692.30/165,988.82
  6. Step 6: Final answer
    x = 133,975.48

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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.