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Finding the Fourth Proportional to 229,157.84, 343,692.20 and 115,275.28

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Solution

The fourth proportional to 229,157.84, 343,692.20 and 115,275.28 is: 172,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,157.84 : 343,692.20 = 115,275.28 : x
  2. Step 2: Convert to fraction form
    229,157.84/343,692.20 = 115,275.28/x
  3. Step 3: Cross multiply
    229,157.84x = 343,692.20 × 115,275.28
  4. Step 4: Simplify right side
    229,157.84x = 39,619,214,588.82
  5. Step 5: Solve for x
    x = 39,619,214,588.82/229,157.84
  6. Step 6: Final answer
    x = 172,890.50

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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.