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Finding the Fourth Proportional to 248,309.46, 342,428.85 and 166,821.84

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Solution

The fourth proportional to 248,309.46, 342,428.85 and 166,821.84 is: 230,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,309.46 : 342,428.85 = 166,821.84 : x
  2. Step 2: Convert to fraction form
    248,309.46/342,428.85 = 166,821.84/x
  3. Step 3: Cross multiply
    248,309.46x = 342,428.85 × 166,821.84
  4. Step 4: Simplify right side
    248,309.46x = 57,124,610,826.08
  5. Step 5: Solve for x
    x = 57,124,610,826.08/248,309.46
  6. Step 6: Final answer
    x = 230,054.11

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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.