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Finding the Fourth Proportional to 275,108.10, 412,526 and 97,588.50

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Solution

The fourth proportional to 275,108.10, 412,526 and 97,588.50 is: 146,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,108.10 : 412,526 = 97,588.50 : x
  2. Step 2: Convert to fraction form
    275,108.10/412,526 = 97,588.50/x
  3. Step 3: Cross multiply
    275,108.10x = 412,526 × 97,588.50
  4. Step 4: Simplify right side
    275,108.10x = 40,257,793,551
  5. Step 5: Solve for x
    x = 40,257,793,551/275,108.10
  6. Step 6: Final answer
    x = 146,334.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.