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Finding the Fourth Proportional to 225,076.73, 310,459.37 and 144,376.43

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Solution

The fourth proportional to 225,076.73, 310,459.37 and 144,376.43 is: 199,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,076.73 : 310,459.37 = 144,376.43 : x
  2. Step 2: Convert to fraction form
    225,076.73/310,459.37 = 144,376.43/x
  3. Step 3: Cross multiply
    225,076.73x = 310,459.37 × 144,376.43
  4. Step 4: Simplify right side
    225,076.73x = 44,823,013,226.47
  5. Step 5: Solve for x
    x = 44,823,013,226.47/225,076.73
  6. Step 6: Final answer
    x = 199,145.48

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1.5x scale

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.