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Finding the Fourth Proportional to 176,104.70, 264,221.85 and 70,934.30

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Solution

The fourth proportional to 176,104.70, 264,221.85 and 70,934.30 is: 106,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,104.70 : 264,221.85 = 70,934.30 : x
  2. Step 2: Convert to fraction form
    176,104.70/264,221.85 = 70,934.30/x
  3. Step 3: Cross multiply
    176,104.70x = 264,221.85 × 70,934.30
  4. Step 4: Simplify right side
    176,104.70x = 18,742,391,974.46
  5. Step 5: Solve for x
    x = 18,742,391,974.46/176,104.70
  6. Step 6: Final answer
    x = 106,427.55

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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.