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Finding the Fourth Proportional to 275,223.14, 412,875.75 and 97,715.33

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Solution

The fourth proportional to 275,223.14, 412,875.75 and 97,715.33 is: 146,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,223.14 : 412,875.75 = 97,715.33 : x
  2. Step 2: Convert to fraction form
    275,223.14/412,875.75 = 97,715.33/x
  3. Step 3: Cross multiply
    275,223.14x = 412,875.75 × 97,715.33
  4. Step 4: Simplify right side
    275,223.14x = 40,344,290,160.25
  5. Step 5: Solve for x
    x = 40,344,290,160.25/275,223.14
  6. Step 6: Final answer
    x = 146,587.57

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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.