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Finding the Fourth Proportional to 305,512.40, 458,084.50 and 137,002.25

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Solution

The fourth proportional to 305,512.40, 458,084.50 and 137,002.25 is: 205,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,512.40 : 458,084.50 = 137,002.25 : x
  2. Step 2: Convert to fraction form
    305,512.40/458,084.50 = 137,002.25/x
  3. Step 3: Cross multiply
    305,512.40x = 458,084.50 × 137,002.25
  4. Step 4: Simplify right side
    305,512.40x = 62,758,607,190.13
  5. Step 5: Solve for x
    x = 62,758,607,190.13/305,512.40
  6. Step 6: Final answer
    x = 205,420.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.