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Finding the Fourth Proportional to 194,497.86, 268,428.54 and 112,844.10

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Solution

The fourth proportional to 194,497.86, 268,428.54 and 112,844.10 is: 155,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,497.86 : 268,428.54 = 112,844.10 : x
  2. Step 2: Convert to fraction form
    194,497.86/268,428.54 = 112,844.10/x
  3. Step 3: Cross multiply
    194,497.86x = 268,428.54 × 112,844.10
  4. Step 4: Simplify right side
    194,497.86x = 30,290,577,010.61
  5. Step 5: Solve for x
    x = 30,290,577,010.61/194,497.86
  6. Step 6: Final answer
    x = 155,737.33

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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.