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Finding the Fourth Proportional to 225,984, 311,857.68 and 124,010.04

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Solution

The fourth proportional to 225,984, 311,857.68 and 124,010.04 is: 171,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,984 : 311,857.68 = 124,010.04 : x
  2. Step 2: Convert to fraction form
    225,984/311,857.68 = 124,010.04/x
  3. Step 3: Cross multiply
    225,984x = 311,857.68 × 124,010.04
  4. Step 4: Simplify right side
    225,984x = 38,673,483,371.11
  5. Step 5: Solve for x
    x = 38,673,483,371.11/225,984
  6. Step 6: Final answer
    x = 171,133.72

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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.