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Finding the Fourth Proportional to 194,118.51, 291,226.11 and 154,287.77

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Solution

The fourth proportional to 194,118.51, 291,226.11 and 154,287.77 is: 231,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,118.51 : 291,226.11 = 154,287.77 : x
  2. Step 2: Convert to fraction form
    194,118.51/291,226.11 = 154,287.77/x
  3. Step 3: Cross multiply
    194,118.51x = 291,226.11 × 154,287.77
  4. Step 4: Simplify right side
    194,118.51x = 44,932,625,621.54
  5. Step 5: Solve for x
    x = 44,932,625,621.54/194,118.51
  6. Step 6: Final answer
    x = 231,470.07

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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.