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Finding the Fourth Proportional to 302,277, 417,144.69 and 168,141

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Solution

The fourth proportional to 302,277, 417,144.69 and 168,141 is: 232,035.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,277 : 417,144.69 = 168,141 : x
  2. Step 2: Convert to fraction form
    302,277/417,144.69 = 168,141/x
  3. Step 3: Cross multiply
    302,277x = 417,144.69 × 168,141
  4. Step 4: Simplify right side
    302,277x = 70,139,125,321.29
  5. Step 5: Solve for x
    x = 70,139,125,321.29/302,277
  6. Step 6: Final answer
    x = 232,035.93

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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.