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Finding the Fourth Proportional to 194,649.63, 268,616.70 and 114,061.11

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Solution

The fourth proportional to 194,649.63, 268,616.70 and 114,061.11 is: 157,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,649.63 : 268,616.70 = 114,061.11 : x
  2. Step 2: Convert to fraction form
    194,649.63/268,616.70 = 114,061.11/x
  3. Step 3: Cross multiply
    194,649.63x = 268,616.70 × 114,061.11
  4. Step 4: Simplify right side
    194,649.63x = 30,638,718,966.54
  5. Step 5: Solve for x
    x = 30,638,718,966.54/194,649.63
  6. Step 6: Final answer
    x = 157,404.46

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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.