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Finding the Fourth Proportional to 194,472, 268,364.64 and 109,584

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Solution

The fourth proportional to 194,472, 268,364.64 and 109,584 is: 151,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,472 : 268,364.64 = 109,584 : x
  2. Step 2: Convert to fraction form
    194,472/268,364.64 = 109,584/x
  3. Step 3: Cross multiply
    194,472x = 268,364.64 × 109,584
  4. Step 4: Simplify right side
    194,472x = 29,408,470,709.76
  5. Step 5: Solve for x
    x = 29,408,470,709.76/194,472
  6. Step 6: Final answer
    x = 151,222.13

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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.