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Finding the Fourth Proportional to 183,341.94, 253,023.57 and 102,769.48

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Solution

The fourth proportional to 183,341.94, 253,023.57 and 102,769.48 is: 141,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,341.94 : 253,023.57 = 102,769.48 : x
  2. Step 2: Convert to fraction form
    183,341.94/253,023.57 = 102,769.48/x
  3. Step 3: Cross multiply
    183,341.94x = 253,023.57 × 102,769.48
  4. Step 4: Simplify right side
    183,341.94x = 26,003,101,032.92
  5. Step 5: Solve for x
    x = 26,003,101,032.92/183,341.94
  6. Step 6: Final answer
    x = 141,828.44

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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.