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Finding the Fourth Proportional to 194,522.77, 268,531.06 and 137,208.79

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Solution

The fourth proportional to 194,522.77, 268,531.06 and 137,208.79 is: 189,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,522.77 : 268,531.06 = 137,208.79 : x
  2. Step 2: Convert to fraction form
    194,522.77/268,531.06 = 137,208.79/x
  3. Step 3: Cross multiply
    194,522.77x = 268,531.06 × 137,208.79
  4. Step 4: Simplify right side
    194,522.77x = 36,844,820,477.36
  5. Step 5: Solve for x
    x = 36,844,820,477.36/194,522.77
  6. Step 6: Final answer
    x = 189,411.35

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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.