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Finding the Fourth Proportional to 294,108, 441,227.61 and 107,119.50

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Solution

The fourth proportional to 294,108, 441,227.61 and 107,119.50 is: 160,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,108 : 441,227.61 = 107,119.50 : x
  2. Step 2: Convert to fraction form
    294,108/441,227.61 = 107,119.50/x
  3. Step 3: Cross multiply
    294,108x = 441,227.61 × 107,119.50
  4. Step 4: Simplify right side
    294,108x = 47,264,080,969.40
  5. Step 5: Solve for x
    x = 47,264,080,969.40/294,108
  6. Step 6: Final answer
    x = 160,703.15

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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.