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Finding the Fourth Proportional to 229,158.76, 343,692.42 and 77,341

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Solution

The fourth proportional to 229,158.76, 343,692.42 and 77,341 is: 115,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,158.76 : 343,692.42 = 77,341 : x
  2. Step 2: Convert to fraction form
    229,158.76/343,692.42 = 77,341/x
  3. Step 3: Cross multiply
    229,158.76x = 343,692.42 × 77,341
  4. Step 4: Simplify right side
    229,158.76x = 26,581,515,455.22
  5. Step 5: Solve for x
    x = 26,581,515,455.22/229,158.76
  6. Step 6: Final answer
    x = 115,996.07

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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.