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Finding the Fourth Proportional to 172,564.92, 238,139.10 and 97,113.48

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Solution

The fourth proportional to 172,564.92, 238,139.10 and 97,113.48 is: 134,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,564.92 : 238,139.10 = 97,113.48 : x
  2. Step 2: Convert to fraction form
    172,564.92/238,139.10 = 97,113.48/x
  3. Step 3: Cross multiply
    172,564.92x = 238,139.10 × 97,113.48
  4. Step 4: Simplify right side
    172,564.92x = 23,126,516,725.07
  5. Step 5: Solve for x
    x = 23,126,516,725.07/172,564.92
  6. Step 6: Final answer
    x = 134,016.33

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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.