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Finding the Fourth Proportional to 194,184.42, 291,389.86 and 81,857.76

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Solution

The fourth proportional to 194,184.42, 291,389.86 and 81,857.76 is: 122,834.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,184.42 : 291,389.86 = 81,857.76 : x
  2. Step 2: Convert to fraction form
    194,184.42/291,389.86 = 81,857.76/x
  3. Step 3: Cross multiply
    194,184.42x = 291,389.86 × 81,857.76
  4. Step 4: Simplify right side
    194,184.42x = 23,852,521,226.31
  5. Step 5: Solve for x
    x = 23,852,521,226.31/194,184.42
  6. Step 6: Final answer
    x = 122,834.37

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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.