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Finding the Fourth Proportional to 150,300, 207,414.06 and 83,232

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Solution

The fourth proportional to 150,300, 207,414.06 and 83,232 is: 114,860.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,300 : 207,414.06 = 83,232 : x
  2. Step 2: Convert to fraction form
    150,300/207,414.06 = 83,232/x
  3. Step 3: Cross multiply
    150,300x = 207,414.06 × 83,232
  4. Step 4: Simplify right side
    150,300x = 17,263,487,041.92
  5. Step 5: Solve for x
    x = 17,263,487,041.92/150,300
  6. Step 6: Final answer
    x = 114,860.19

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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.