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Finding the Fourth Proportional to 302,200.92, 417,067.83 and 173,156.49

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Solution

The fourth proportional to 302,200.92, 417,067.83 and 173,156.49 is: 238,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,200.92 : 417,067.83 = 173,156.49 : x
  2. Step 2: Convert to fraction form
    302,200.92/417,067.83 = 173,156.49/x
  3. Step 3: Cross multiply
    302,200.92x = 417,067.83 × 173,156.49
  4. Step 4: Simplify right side
    302,200.92x = 72,218,001,534.72
  5. Step 5: Solve for x
    x = 72,218,001,534.72/302,200.92
  6. Step 6: Final answer
    x = 238,973.47

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1.5x scale

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.