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Finding the Fourth Proportional to 310,010.70, 465,016.05 and 99,669.90

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Solution

The fourth proportional to 310,010.70, 465,016.05 and 99,669.90 is: 149,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,010.70 : 465,016.05 = 99,669.90 : x
  2. Step 2: Convert to fraction form
    310,010.70/465,016.05 = 99,669.90/x
  3. Step 3: Cross multiply
    310,010.70x = 465,016.05 × 99,669.90
  4. Step 4: Simplify right side
    310,010.70x = 46,348,103,201.90
  5. Step 5: Solve for x
    x = 46,348,103,201.90/310,010.70
  6. Step 6: Final answer
    x = 149,504.85

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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.