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Finding the Fourth Proportional to 305,657.30, 458,506.20 and 81,014.60

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Solution

The fourth proportional to 305,657.30, 458,506.20 and 81,014.60 is: 121,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,657.30 : 458,506.20 = 81,014.60 : x
  2. Step 2: Convert to fraction form
    305,657.30/458,506.20 = 81,014.60/x
  3. Step 3: Cross multiply
    305,657.30x = 458,506.20 × 81,014.60
  4. Step 4: Simplify right side
    305,657.30x = 37,145,696,390.52
  5. Step 5: Solve for x
    x = 37,145,696,390.52/305,657.30
  6. Step 6: Final answer
    x = 121,527.27

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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.