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Finding the Fourth Proportional to 302,112.40, 416,905.56 and 166,145.92

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Solution

The fourth proportional to 302,112.40, 416,905.56 and 166,145.92 is: 229,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,112.40 : 416,905.56 = 166,145.92 : x
  2. Step 2: Convert to fraction form
    302,112.40/416,905.56 = 166,145.92/x
  3. Step 3: Cross multiply
    302,112.40x = 416,905.56 × 166,145.92
  4. Step 4: Simplify right side
    302,112.40x = 69,267,157,819.32
  5. Step 5: Solve for x
    x = 69,267,157,819.32/302,112.40
  6. Step 6: Final answer
    x = 229,276.12

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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.