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Finding the Fourth Proportional to 275,010, 412,515.33 and 75,332.11

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Solution

The fourth proportional to 275,010, 412,515.33 and 75,332.11 is: 112,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,010 : 412,515.33 = 75,332.11 : x
  2. Step 2: Convert to fraction form
    275,010/412,515.33 = 75,332.11/x
  3. Step 3: Cross multiply
    275,010x = 412,515.33 × 75,332.11
  4. Step 4: Simplify right side
    275,010x = 31,075,648,902.46
  5. Step 5: Solve for x
    x = 31,075,648,902.46/275,010
  6. Step 6: Final answer
    x = 112,998.25

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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.