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Finding the Fourth Proportional to 172,764.36, 238,405.62 and 97,308

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Solution

The fourth proportional to 172,764.36, 238,405.62 and 97,308 is: 134,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,764.36 : 238,405.62 = 97,308 : x
  2. Step 2: Convert to fraction form
    172,764.36/238,405.62 = 97,308/x
  3. Step 3: Cross multiply
    172,764.36x = 238,405.62 × 97,308
  4. Step 4: Simplify right side
    172,764.36x = 23,198,774,070.96
  5. Step 5: Solve for x
    x = 23,198,774,070.96/172,764.36
  6. Step 6: Final answer
    x = 134,279.86

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