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Finding the Fourth Proportional to 305,825.71, 458,795.03 and 100,671.96

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Solution

The fourth proportional to 305,825.71, 458,795.03 and 100,671.96 is: 151,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,825.71 : 458,795.03 = 100,671.96 : x
  2. Step 2: Convert to fraction form
    305,825.71/458,795.03 = 100,671.96/x
  3. Step 3: Cross multiply
    305,825.71x = 458,795.03 × 100,671.96
  4. Step 4: Simplify right side
    305,825.71x = 46,187,792,111.02
  5. Step 5: Solve for x
    x = 46,187,792,111.02/305,825.71
  6. Step 6: Final answer
    x = 151,026.52

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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.