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Finding the Fourth Proportional to 172,993.76, 238,730.96 and 97,541.76

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Solution

The fourth proportional to 172,993.76, 238,730.96 and 97,541.76 is: 134,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,993.76 : 238,730.96 = 97,541.76 : x
  2. Step 2: Convert to fraction form
    172,993.76/238,730.96 = 97,541.76/x
  3. Step 3: Cross multiply
    172,993.76x = 238,730.96 × 97,541.76
  4. Step 4: Simplify right side
    172,993.76x = 23,286,238,004.89
  5. Step 5: Solve for x
    x = 23,286,238,004.89/172,993.76
  6. Step 6: Final answer
    x = 134,607.39

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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.