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Finding the Fourth Proportional to 362,193.30, 542,901.15 and 137,466.90

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Solution

The fourth proportional to 362,193.30, 542,901.15 and 137,466.90 is: 206,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,193.30 : 542,901.15 = 137,466.90 : x
  2. Step 2: Convert to fraction form
    362,193.30/542,901.15 = 137,466.90/x
  3. Step 3: Cross multiply
    362,193.30x = 542,901.15 × 137,466.90
  4. Step 4: Simplify right side
    362,193.30x = 74,630,938,096.94
  5. Step 5: Solve for x
    x = 74,630,938,096.94/362,193.30
  6. Step 6: Final answer
    x = 206,052.78

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1.5x scale

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.