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Finding the Fourth Proportional to 294,359.95, 441,605.76 and 107,371.45

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Solution

The fourth proportional to 294,359.95, 441,605.76 and 107,371.45 is: 161,081.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,359.95 : 441,605.76 = 107,371.45 : x
  2. Step 2: Convert to fraction form
    294,359.95/441,605.76 = 107,371.45/x
  3. Step 3: Cross multiply
    294,359.95x = 441,605.76 × 107,371.45
  4. Step 4: Simplify right side
    294,359.95x = 47,415,850,779.55
  5. Step 5: Solve for x
    x = 47,415,850,779.55/294,359.95
  6. Step 6: Final answer
    x = 161,081.19

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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.