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Finding the Fourth Proportional to 176,098.46, 264,032.80 and 115,944.85

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Solution

The fourth proportional to 176,098.46, 264,032.80 and 115,944.85 is: 173,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,098.46 : 264,032.80 = 115,944.85 : x
  2. Step 2: Convert to fraction form
    176,098.46/264,032.80 = 115,944.85/x
  3. Step 3: Cross multiply
    176,098.46x = 264,032.80 × 115,944.85
  4. Step 4: Simplify right side
    176,098.46x = 30,613,243,431.26
  5. Step 5: Solve for x
    x = 30,613,243,431.26/176,098.46
  6. Step 6: Final answer
    x = 173,841.64

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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.