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Finding the Fourth Proportional to 225,428.32, 311,087.28 and 124,824.16

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Solution

The fourth proportional to 225,428.32, 311,087.28 and 124,824.16 is: 172,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,428.32 : 311,087.28 = 124,824.16 : x
  2. Step 2: Convert to fraction form
    225,428.32/311,087.28 = 124,824.16/x
  3. Step 3: Cross multiply
    225,428.32x = 311,087.28 × 124,824.16
  4. Step 4: Simplify right side
    225,428.32x = 38,831,208,412.68
  5. Step 5: Solve for x
    x = 38,831,208,412.68/225,428.32
  6. Step 6: Final answer
    x = 172,255.24

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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.