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Finding the Fourth Proportional to 225,426, 311,110.56 and 124,824

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Solution

The fourth proportional to 225,426, 311,110.56 and 124,824 is: 172,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,426 : 311,110.56 = 124,824 : x
  2. Step 2: Convert to fraction form
    225,426/311,110.56 = 124,824/x
  3. Step 3: Cross multiply
    225,426x = 311,110.56 × 124,824
  4. Step 4: Simplify right side
    225,426x = 38,834,064,541.44
  5. Step 5: Solve for x
    x = 38,834,064,541.44/225,426
  6. Step 6: Final answer
    x = 172,269.68

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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.