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Finding the Fourth Proportional to 176,333.51, 264,500.57 and 43,214.20

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Solution

The fourth proportional to 176,333.51, 264,500.57 and 43,214.20 is: 64,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,333.51 : 264,500.57 = 43,214.20 : x
  2. Step 2: Convert to fraction form
    176,333.51/264,500.57 = 43,214.20/x
  3. Step 3: Cross multiply
    176,333.51x = 264,500.57 × 43,214.20
  4. Step 4: Simplify right side
    176,333.51x = 11,430,179,978.88
  5. Step 5: Solve for x
    x = 11,430,179,978.88/176,333.51
  6. Step 6: Final answer
    x = 64,821.37

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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.