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Finding the Fourth Proportional to 294,151.50, 441,292.86 and 107,163

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Solution

The fourth proportional to 294,151.50, 441,292.86 and 107,163 is: 160,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,151.50 : 441,292.86 = 107,163 : x
  2. Step 2: Convert to fraction form
    294,151.50/441,292.86 = 107,163/x
  3. Step 3: Cross multiply
    294,151.50x = 441,292.86 × 107,163
  4. Step 4: Simplify right side
    294,151.50x = 47,290,266,756.18
  5. Step 5: Solve for x
    x = 47,290,266,756.18/294,151.50
  6. Step 6: Final answer
    x = 160,768.40

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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.