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Finding the Fourth Proportional to 101,564.54, 140,158.68 and 56,852.54

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Solution

The fourth proportional to 101,564.54, 140,158.68 and 56,852.54 is: 78,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,564.54 : 140,158.68 = 56,852.54 : x
  2. Step 2: Convert to fraction form
    101,564.54/140,158.68 = 56,852.54/x
  3. Step 3: Cross multiply
    101,564.54x = 140,158.68 × 56,852.54
  4. Step 4: Simplify right side
    101,564.54x = 7,968,376,961.05
  5. Step 5: Solve for x
    x = 7,968,376,961.05/101,564.54
  6. Step 6: Final answer
    x = 78,456.29

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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.