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Finding the Fourth Proportional to 176,827.80, 265,241.70 and 71,650.20

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Solution

The fourth proportional to 176,827.80, 265,241.70 and 71,650.20 is: 107,475.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,827.80 : 265,241.70 = 71,650.20 : x
  2. Step 2: Convert to fraction form
    176,827.80/265,241.70 = 71,650.20/x
  3. Step 3: Cross multiply
    176,827.80x = 265,241.70 × 71,650.20
  4. Step 4: Simplify right side
    176,827.80x = 19,004,620,853.34
  5. Step 5: Solve for x
    x = 19,004,620,853.34/176,827.80
  6. Step 6: Final answer
    x = 107,475.30

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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.