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Finding the Fourth Proportional to 294,269.79, 441,015.87 and 107,101.47

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Solution

The fourth proportional to 294,269.79, 441,015.87 and 107,101.47 is: 160,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,269.79 : 441,015.87 = 107,101.47 : x
  2. Step 2: Convert to fraction form
    294,269.79/441,015.87 = 107,101.47/x
  3. Step 3: Cross multiply
    294,269.79x = 441,015.87 × 107,101.47
  4. Step 4: Simplify right side
    294,269.79x = 47,233,447,970.33
  5. Step 5: Solve for x
    x = 47,233,447,970.33/294,269.79
  6. Step 6: Final answer
    x = 160,510.69

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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.