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Finding the Fourth Proportional to 172,477.50, 258,717.42 and 65,832.70

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Solution

The fourth proportional to 172,477.50, 258,717.42 and 65,832.70 is: 98,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,477.50 : 258,717.42 = 65,832.70 : x
  2. Step 2: Convert to fraction form
    172,477.50/258,717.42 = 65,832.70/x
  3. Step 3: Cross multiply
    172,477.50x = 258,717.42 × 65,832.70
  4. Step 4: Simplify right side
    172,477.50x = 17,032,066,295.63
  5. Step 5: Solve for x
    x = 17,032,066,295.63/172,477.50
  6. Step 6: Final answer
    x = 98,749.50

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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.