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Finding the Fourth Proportional to 176,308.40, 264,613.80 and 71,202.80

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Solution

The fourth proportional to 176,308.40, 264,613.80 and 71,202.80 is: 106,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,308.40 : 264,613.80 = 71,202.80 : x
  2. Step 2: Convert to fraction form
    176,308.40/264,613.80 = 71,202.80/x
  3. Step 3: Cross multiply
    176,308.40x = 264,613.80 × 71,202.80
  4. Step 4: Simplify right side
    176,308.40x = 18,841,243,478.64
  5. Step 5: Solve for x
    x = 18,841,243,478.64/176,308.40
  6. Step 6: Final answer
    x = 106,865.26

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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.