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Finding the Fourth Proportional to 176,536.75, 264,805.13 and 51,877.75

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Solution

The fourth proportional to 176,536.75, 264,805.13 and 51,877.75 is: 77,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,536.75 : 264,805.13 = 51,877.75 : x
  2. Step 2: Convert to fraction form
    176,536.75/264,805.13 = 51,877.75/x
  3. Step 3: Cross multiply
    176,536.75x = 264,805.13 × 51,877.75
  4. Step 4: Simplify right side
    176,536.75x = 13,737,494,332.86
  5. Step 5: Solve for x
    x = 13,737,494,332.86/176,536.75
  6. Step 6: Final answer
    x = 77,816.63

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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.