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Finding the Fourth Proportional to 302,335.77, 417,225.33 and 166,365.90

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Solution

The fourth proportional to 302,335.77, 417,225.33 and 166,365.90 is: 229,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,335.77 : 417,225.33 = 166,365.90 : x
  2. Step 2: Convert to fraction form
    302,335.77/417,225.33 = 166,365.90/x
  3. Step 3: Cross multiply
    302,335.77x = 417,225.33 × 166,365.90
  4. Step 4: Simplify right side
    302,335.77x = 69,412,067,528.25
  5. Step 5: Solve for x
    x = 69,412,067,528.25/302,335.77
  6. Step 6: Final answer
    x = 229,586.02

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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.