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Finding the Fourth Proportional to 228,089.82, 314,736.49 and 126,101.51

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Solution

The fourth proportional to 228,089.82, 314,736.49 and 126,101.51 is: 174,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,089.82 : 314,736.49 = 126,101.51 : x
  2. Step 2: Convert to fraction form
    228,089.82/314,736.49 = 126,101.51/x
  3. Step 3: Cross multiply
    228,089.82x = 314,736.49 × 126,101.51
  4. Step 4: Simplify right side
    228,089.82x = 39,688,745,695.99
  5. Step 5: Solve for x
    x = 39,688,745,695.99/228,089.82
  6. Step 6: Final answer
    x = 174,004.89

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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.