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Finding the Fourth Proportional to 302,068.72, 416,846.37 and 166,102.93

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Solution

The fourth proportional to 302,068.72, 416,846.37 and 166,102.93 is: 229,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,068.72 : 416,846.37 = 166,102.93 : x
  2. Step 2: Convert to fraction form
    302,068.72/416,846.37 = 166,102.93/x
  3. Step 3: Cross multiply
    302,068.72x = 416,846.37 × 166,102.93
  4. Step 4: Simplify right side
    302,068.72x = 69,239,403,416.86
  5. Step 5: Solve for x
    x = 69,239,403,416.86/302,068.72
  6. Step 6: Final answer
    x = 229,217.39

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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.