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Finding the Fourth Proportional to 225,153.94, 337,637.48 and 83,007.31

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Solution

The fourth proportional to 225,153.94, 337,637.48 and 83,007.31 is: 124,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,153.94 : 337,637.48 = 83,007.31 : x
  2. Step 2: Convert to fraction form
    225,153.94/337,637.48 = 83,007.31/x
  3. Step 3: Cross multiply
    225,153.94x = 337,637.48 × 83,007.31
  4. Step 4: Simplify right side
    225,153.94x = 28,026,378,969.98
  5. Step 5: Solve for x
    x = 28,026,378,969.98/225,153.94
  6. Step 6: Final answer
    x = 124,476.52

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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.