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Finding the Fourth Proportional to 221,693.84, 332,590.68 and 73,946

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Solution

The fourth proportional to 221,693.84, 332,590.68 and 73,946 is: 110,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,693.84 : 332,590.68 = 73,946 : x
  2. Step 2: Convert to fraction form
    221,693.84/332,590.68 = 73,946/x
  3. Step 3: Cross multiply
    221,693.84x = 332,590.68 × 73,946
  4. Step 4: Simplify right side
    221,693.84x = 24,593,750,423.28
  5. Step 5: Solve for x
    x = 24,593,750,423.28/221,693.84
  6. Step 6: Final answer
    x = 110,935.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.