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Finding the Fourth Proportional to 176,457.44, 264,658.28 and 146,662.96

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Solution

The fourth proportional to 176,457.44, 264,658.28 and 146,662.96 is: 219,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,457.44 : 264,658.28 = 146,662.96 : x
  2. Step 2: Convert to fraction form
    176,457.44/264,658.28 = 146,662.96/x
  3. Step 3: Cross multiply
    176,457.44x = 264,658.28 × 146,662.96
  4. Step 4: Simplify right side
    176,457.44x = 38,815,566,733.31
  5. Step 5: Solve for x
    x = 38,815,566,733.31/176,457.44
  6. Step 6: Final answer
    x = 219,971.27

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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.