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Finding the Fourth Proportional to 176,449, 264,673.52 and 51,790

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Solution

The fourth proportional to 176,449, 264,673.52 and 51,790 is: 77,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,449 : 264,673.52 = 51,790 : x
  2. Step 2: Convert to fraction form
    176,449/264,673.52 = 51,790/x
  3. Step 3: Cross multiply
    176,449x = 264,673.52 × 51,790
  4. Step 4: Simplify right side
    176,449x = 13,707,441,600.80
  5. Step 5: Solve for x
    x = 13,707,441,600.80/176,449
  6. Step 6: Final answer
    x = 77,685.01

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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.