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Finding the Fourth Proportional to 302,665.74, 417,681.38 and 166,704.36

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Solution

The fourth proportional to 302,665.74, 417,681.38 and 166,704.36 is: 230,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,665.74 : 417,681.38 = 166,704.36 : x
  2. Step 2: Convert to fraction form
    302,665.74/417,681.38 = 166,704.36/x
  3. Step 3: Cross multiply
    302,665.74x = 417,681.38 × 166,704.36
  4. Step 4: Simplify right side
    302,665.74x = 69,629,307,136.82
  5. Step 5: Solve for x
    x = 69,629,307,136.82/302,665.74
  6. Step 6: Final answer
    x = 230,053.48

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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.