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Finding the Fourth Proportional to 229,844.63, 344,692.71 and 83,763.72

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Solution

The fourth proportional to 229,844.63, 344,692.71 and 83,763.72 is: 125,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,844.63 : 344,692.71 = 83,763.72 : x
  2. Step 2: Convert to fraction form
    229,844.63/344,692.71 = 83,763.72/x
  3. Step 3: Cross multiply
    229,844.63x = 344,692.71 × 83,763.72
  4. Step 4: Simplify right side
    229,844.63x = 28,872,743,646.48
  5. Step 5: Solve for x
    x = 28,872,743,646.48/229,844.63
  6. Step 6: Final answer
    x = 125,618.52

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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.