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Finding the Fourth Proportional to 172,661.10, 238,309.07 and 116,039.67

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Solution

The fourth proportional to 172,661.10, 238,309.07 and 116,039.67 is: 160,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,661.10 : 238,309.07 = 116,039.67 : x
  2. Step 2: Convert to fraction form
    172,661.10/238,309.07 = 116,039.67/x
  3. Step 3: Cross multiply
    172,661.10x = 238,309.07 × 116,039.67
  4. Step 4: Simplify right side
    172,661.10x = 27,653,305,840.81
  5. Step 5: Solve for x
    x = 27,653,305,840.81/172,661.10
  6. Step 6: Final answer
    x = 160,159.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.