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Finding the Fourth Proportional to 194,977, 269,068.26 and 105,553

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Solution

The fourth proportional to 194,977, 269,068.26 and 105,553 is: 145,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,977 : 269,068.26 = 105,553 : x
  2. Step 2: Convert to fraction form
    194,977/269,068.26 = 105,553/x
  3. Step 3: Cross multiply
    194,977x = 269,068.26 × 105,553
  4. Step 4: Simplify right side
    194,977x = 28,400,962,047.78
  5. Step 5: Solve for x
    x = 28,400,962,047.78/194,977
  6. Step 6: Final answer
    x = 145,663.14

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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.