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Finding the Fourth Proportional to 176,190.48, 264,285.72 and 51,531.48

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Solution

The fourth proportional to 176,190.48, 264,285.72 and 51,531.48 is: 77,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,190.48 : 264,285.72 = 51,531.48 : x
  2. Step 2: Convert to fraction form
    176,190.48/264,285.72 = 51,531.48/x
  3. Step 3: Cross multiply
    176,190.48x = 264,285.72 × 51,531.48
  4. Step 4: Simplify right side
    176,190.48x = 13,619,034,294.47
  5. Step 5: Solve for x
    x = 13,619,034,294.47/176,190.48
  6. Step 6: Final answer
    x = 77,297.22

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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.