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Finding the Fourth Proportional to 89,196.32, 123,174 and 57,420.24

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Solution

The fourth proportional to 89,196.32, 123,174 and 57,420.24 is: 79,293.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,196.32 : 123,174 = 57,420.24 : x
  2. Step 2: Convert to fraction form
    89,196.32/123,174 = 57,420.24/x
  3. Step 3: Cross multiply
    89,196.32x = 123,174 × 57,420.24
  4. Step 4: Simplify right side
    89,196.32x = 7,072,680,641.76
  5. Step 5: Solve for x
    x = 7,072,680,641.76/89,196.32
  6. Step 6: Final answer
    x = 79,293.41

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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.