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Finding the Fourth Proportional to 172,708.16, 238,295.76 and 97,256.64

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Solution

The fourth proportional to 172,708.16, 238,295.76 and 97,256.64 is: 134,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,708.16 : 238,295.76 = 97,256.64 : x
  2. Step 2: Convert to fraction form
    172,708.16/238,295.76 = 97,256.64/x
  3. Step 3: Cross multiply
    172,708.16x = 238,295.76 × 97,256.64
  4. Step 4: Simplify right side
    172,708.16x = 23,175,844,943.85
  5. Step 5: Solve for x
    x = 23,175,844,943.85/172,708.16
  6. Step 6: Final answer
    x = 134,190.79

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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.