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Finding the Fourth Proportional to 172,586.68, 238,114 and 97,120.60

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Solution

The fourth proportional to 172,586.68, 238,114 and 97,120.60 is: 133,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,586.68 : 238,114 = 97,120.60 : x
  2. Step 2: Convert to fraction form
    172,586.68/238,114 = 97,120.60/x
  3. Step 3: Cross multiply
    172,586.68x = 238,114 × 97,120.60
  4. Step 4: Simplify right side
    172,586.68x = 23,125,774,548.40
  5. Step 5: Solve for x
    x = 23,125,774,548.40/172,586.68
  6. Step 6: Final answer
    x = 133,995.13

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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.