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Finding the Fourth Proportional to 294,775.86, 442,257.21 and 105,232.14

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Solution

The fourth proportional to 294,775.86, 442,257.21 and 105,232.14 is: 157,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,775.86 : 442,257.21 = 105,232.14 : x
  2. Step 2: Convert to fraction form
    294,775.86/442,257.21 = 105,232.14/x
  3. Step 3: Cross multiply
    294,775.86x = 442,257.21 × 105,232.14
  4. Step 4: Simplify right side
    294,775.86x = 46,539,672,638.73
  5. Step 5: Solve for x
    x = 46,539,672,638.73/294,775.86
  6. Step 6: Final answer
    x = 157,881.56

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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.