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Finding the Fourth Proportional to 194,939.16, 269,024.40 and 114,428.40

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Solution

The fourth proportional to 194,939.16, 269,024.40 and 114,428.40 is: 157,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,939.16 : 269,024.40 = 114,428.40 : x
  2. Step 2: Convert to fraction form
    194,939.16/269,024.40 = 114,428.40/x
  3. Step 3: Cross multiply
    194,939.16x = 269,024.40 × 114,428.40
  4. Step 4: Simplify right side
    194,939.16x = 30,784,031,652.96
  5. Step 5: Solve for x
    x = 30,784,031,652.96/194,939.16
  6. Step 6: Final answer
    x = 157,916.10

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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.