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Finding the Fourth Proportional to 176,523.50, 264,785.25 and 51,864.50

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Solution

The fourth proportional to 176,523.50, 264,785.25 and 51,864.50 is: 77,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,523.50 : 264,785.25 = 51,864.50 : x
  2. Step 2: Convert to fraction form
    176,523.50/264,785.25 = 51,864.50/x
  3. Step 3: Cross multiply
    176,523.50x = 264,785.25 × 51,864.50
  4. Step 4: Simplify right side
    176,523.50x = 13,732,954,598.63
  5. Step 5: Solve for x
    x = 13,732,954,598.63/176,523.50
  6. Step 6: Final answer
    x = 77,796.75

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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.