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Finding the Fourth Proportional to 193,411.41, 290,115.80 and 105,225.41

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Solution

The fourth proportional to 193,411.41, 290,115.80 and 105,225.41 is: 157,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,411.41 : 290,115.80 = 105,225.41 : x
  2. Step 2: Convert to fraction form
    193,411.41/290,115.80 = 105,225.41/x
  3. Step 3: Cross multiply
    193,411.41x = 290,115.80 × 105,225.41
  4. Step 4: Simplify right side
    193,411.41x = 30,527,552,025.77
  5. Step 5: Solve for x
    x = 30,527,552,025.77/193,411.41
  6. Step 6: Final answer
    x = 157,837.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.