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Finding the Fourth Proportional to 179,876.86, 269,768.31 and 53,483.07

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Solution

The fourth proportional to 179,876.86, 269,768.31 and 53,483.07 is: 80,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,876.86 : 269,768.31 = 53,483.07 : x
  2. Step 2: Convert to fraction form
    179,876.86/269,768.31 = 53,483.07/x
  3. Step 3: Cross multiply
    179,876.86x = 269,768.31 × 53,483.07
  4. Step 4: Simplify right side
    179,876.86x = 14,428,037,407.51
  5. Step 5: Solve for x
    x = 14,428,037,407.51/179,876.86
  6. Step 6: Final answer
    x = 80,210.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.