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Finding the Fourth Proportional to 176,588.75, 264,877.20 and 76,748.93

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Solution

The fourth proportional to 176,588.75, 264,877.20 and 76,748.93 is: 115,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,588.75 : 264,877.20 = 76,748.93 : x
  2. Step 2: Convert to fraction form
    176,588.75/264,877.20 = 76,748.93/x
  3. Step 3: Cross multiply
    176,588.75x = 264,877.20 × 76,748.93
  4. Step 4: Simplify right side
    176,588.75x = 20,329,042,343.59
  5. Step 5: Solve for x
    x = 20,329,042,343.59/176,588.75
  6. Step 6: Final answer
    x = 115,120.83

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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.