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Finding the Fourth Proportional to 468,015.20, 702,128.48 and 148,186.48

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Solution

The fourth proportional to 468,015.20, 702,128.48 and 148,186.48 is: 222,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,015.20 : 702,128.48 = 148,186.48 : x
  2. Step 2: Convert to fraction form
    468,015.20/702,128.48 = 148,186.48/x
  3. Step 3: Cross multiply
    468,015.20x = 702,128.48 × 148,186.48
  4. Step 4: Simplify right side
    468,015.20x = 104,045,947,958.95
  5. Step 5: Solve for x
    x = 104,045,947,958.95/468,015.20
  6. Step 6: Final answer
    x = 222,313.18

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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.