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Finding the Fourth Proportional to 176,536.35, 264,721.10 and 64,138.19

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Solution

The fourth proportional to 176,536.35, 264,721.10 and 64,138.19 is: 96,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,536.35 : 264,721.10 = 64,138.19 : x
  2. Step 2: Convert to fraction form
    176,536.35/264,721.10 = 64,138.19/x
  3. Step 3: Cross multiply
    176,536.35x = 264,721.10 × 64,138.19
  4. Step 4: Simplify right side
    176,536.35x = 16,978,730,564.51
  5. Step 5: Solve for x
    x = 16,978,730,564.51/176,536.35
  6. Step 6: Final answer
    x = 96,176.97

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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.