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Finding the Fourth Proportional to 176,159, 264,238.50 and 51,500

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Solution

The fourth proportional to 176,159, 264,238.50 and 51,500 is: 77,250

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,159 : 264,238.50 = 51,500 : x
  2. Step 2: Convert to fraction form
    176,159/264,238.50 = 51,500/x
  3. Step 3: Cross multiply
    176,159x = 264,238.50 × 51,500
  4. Step 4: Simplify right side
    176,159x = 13,608,282,750
  5. Step 5: Solve for x
    x = 13,608,282,750/176,159
  6. Step 6: Final answer
    x = 77,250

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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.