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Finding the Fourth Proportional to 302,205.84, 417,074.61 and 173,161.43

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Solution

The fourth proportional to 302,205.84, 417,074.61 and 173,161.43 is: 238,980.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,205.84 : 417,074.61 = 173,161.43 : x
  2. Step 2: Convert to fraction form
    302,205.84/417,074.61 = 173,161.43/x
  3. Step 3: Cross multiply
    302,205.84x = 417,074.61 × 173,161.43
  4. Step 4: Simplify right side
    302,205.84x = 72,221,233,798.92
  5. Step 5: Solve for x
    x = 72,221,233,798.92/302,205.84
  6. Step 6: Final answer
    x = 238,980.27

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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.