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Finding the Fourth Proportional to 194,710, 268,728.96 and 119,302.24

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Solution

The fourth proportional to 194,710, 268,728.96 and 119,302.24 is: 164,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,710 : 268,728.96 = 119,302.24 : x
  2. Step 2: Convert to fraction form
    194,710/268,728.96 = 119,302.24/x
  3. Step 3: Cross multiply
    194,710x = 268,728.96 × 119,302.24
  4. Step 4: Simplify right side
    194,710x = 32,059,966,880.87
  5. Step 5: Solve for x
    x = 32,059,966,880.87/194,710
  6. Step 6: Final answer
    x = 164,654.96

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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.