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Finding the Fourth Proportional to 176,044.10, 264,143.91 and 71,068.10

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Solution

The fourth proportional to 176,044.10, 264,143.91 and 71,068.10 is: 106,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,044.10 : 264,143.91 = 71,068.10 : x
  2. Step 2: Convert to fraction form
    176,044.10/264,143.91 = 71,068.10/x
  3. Step 3: Cross multiply
    176,044.10x = 264,143.91 × 71,068.10
  4. Step 4: Simplify right side
    176,044.10x = 18,772,205,810.27
  5. Step 5: Solve for x
    x = 18,772,205,810.27/176,044.10
  6. Step 6: Final answer
    x = 106,633.54

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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.