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Finding the Fourth Proportional to 302,695.53, 417,722.72 and 166,730.09

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Solution

The fourth proportional to 302,695.53, 417,722.72 and 166,730.09 is: 230,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,695.53 : 417,722.72 = 166,730.09 : x
  2. Step 2: Convert to fraction form
    302,695.53/417,722.72 = 166,730.09/x
  3. Step 3: Cross multiply
    302,695.53x = 417,722.72 × 166,730.09
  4. Step 4: Simplify right side
    302,695.53x = 69,646,943,778.38
  5. Step 5: Solve for x
    x = 69,646,943,778.38/302,695.53
  6. Step 6: Final answer
    x = 230,089.11

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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.