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Finding the Fourth Proportional to 302,044.47, 416,830.44 and 166,071.39

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Solution

The fourth proportional to 302,044.47, 416,830.44 and 166,071.39 is: 229,183.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,044.47 : 416,830.44 = 166,071.39 : x
  2. Step 2: Convert to fraction form
    302,044.47/416,830.44 = 166,071.39/x
  3. Step 3: Cross multiply
    302,044.47x = 416,830.44 × 166,071.39
  4. Step 4: Simplify right side
    302,044.47x = 69,223,610,565.11
  5. Step 5: Solve for x
    x = 69,223,610,565.11/302,044.47
  6. Step 6: Final answer
    x = 229,183.51

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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.