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Finding the Fourth Proportional to 302,963.39, 418,092.33 and 167,002.66

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Solution

The fourth proportional to 302,963.39, 418,092.33 and 167,002.66 is: 230,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,963.39 : 418,092.33 = 167,002.66 : x
  2. Step 2: Convert to fraction form
    302,963.39/418,092.33 = 167,002.66/x
  3. Step 3: Cross multiply
    302,963.39x = 418,092.33 × 167,002.66
  4. Step 4: Simplify right side
    302,963.39x = 69,822,532,384.47
  5. Step 5: Solve for x
    x = 69,822,532,384.47/302,963.39
  6. Step 6: Final answer
    x = 230,465.25

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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.