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Finding the Fourth Proportional to 225,231.84, 310,829.40 and 124,629.84

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Solution

The fourth proportional to 225,231.84, 310,829.40 and 124,629.84 is: 171,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,231.84 : 310,829.40 = 124,629.84 : x
  2. Step 2: Convert to fraction form
    225,231.84/310,829.40 = 124,629.84/x
  3. Step 3: Cross multiply
    225,231.84x = 310,829.40 × 124,629.84
  4. Step 4: Simplify right side
    225,231.84x = 38,738,618,389.30
  5. Step 5: Solve for x
    x = 38,738,618,389.30/225,231.84
  6. Step 6: Final answer
    x = 171,994.41

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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.