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Finding the Fourth Proportional to 302,194.88, 417,043.68 and 168,056

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Solution

The fourth proportional to 302,194.88, 417,043.68 and 168,056 is: 231,925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,194.88 : 417,043.68 = 168,056 : x
  2. Step 2: Convert to fraction form
    302,194.88/417,043.68 = 168,056/x
  3. Step 3: Cross multiply
    302,194.88x = 417,043.68 × 168,056
  4. Step 4: Simplify right side
    302,194.88x = 70,086,692,686.08
  5. Step 5: Solve for x
    x = 70,086,692,686.08/302,194.88
  6. Step 6: Final answer
    x = 231,925.48

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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.