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Finding the Fourth Proportional to 302,305.50, 417,182.00 and 168,169.50

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Solution

The fourth proportional to 302,305.50, 417,182.00 and 168,169.50 is: 232,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,305.50 : 417,182.00 = 168,169.50 : x
  2. Step 2: Convert to fraction form
    302,305.50/417,182.00 = 168,169.50/x
  3. Step 3: Cross multiply
    302,305.50x = 417,182.00 × 168,169.50
  4. Step 4: Simplify right side
    302,305.50x = 70,157,287,508.15
  5. Step 5: Solve for x
    x = 70,157,287,508.15/302,305.50
  6. Step 6: Final answer
    x = 232,074.14

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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.