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Finding the Fourth Proportional to 194,259.98, 291,406.46 and 54,018.61

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Solution

The fourth proportional to 194,259.98, 291,406.46 and 54,018.61 is: 81,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,259.98 : 291,406.46 = 54,018.61 : x
  2. Step 2: Convert to fraction form
    194,259.98/291,406.46 = 54,018.61/x
  3. Step 3: Cross multiply
    194,259.98x = 291,406.46 × 54,018.61
  4. Step 4: Simplify right side
    194,259.98x = 15,741,371,914.22
  5. Step 5: Solve for x
    x = 15,741,371,914.22/194,259.98
  6. Step 6: Final answer
    x = 81,032.50

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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.