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Finding the Fourth Proportional to 176,514.59, 264,845.72 and 76,758.71

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Solution

The fourth proportional to 176,514.59, 264,845.72 and 76,758.71 is: 115,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,514.59 : 264,845.72 = 76,758.71 : x
  2. Step 2: Convert to fraction form
    176,514.59/264,845.72 = 76,758.71/x
  3. Step 3: Cross multiply
    176,514.59x = 264,845.72 × 76,758.71
  4. Step 4: Simplify right side
    176,514.59x = 20,329,214,108.20
  5. Step 5: Solve for x
    x = 20,329,214,108.20/176,514.59
  6. Step 6: Final answer
    x = 115,170.17

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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.