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Finding the Fourth Proportional to 176,468.70, 264,767.85 and 71,298.30

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Solution

The fourth proportional to 176,468.70, 264,767.85 and 71,298.30 is: 106,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,468.70 : 264,767.85 = 71,298.30 : x
  2. Step 2: Convert to fraction form
    176,468.70/264,767.85 = 71,298.30/x
  3. Step 3: Cross multiply
    176,468.70x = 264,767.85 × 71,298.30
  4. Step 4: Simplify right side
    176,468.70x = 18,877,497,599.66
  5. Step 5: Solve for x
    x = 18,877,497,599.66/176,468.70
  6. Step 6: Final answer
    x = 106,973.63

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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.