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Finding the Fourth Proportional to 94,157.40, 141,220.50 and 30,978.30

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Solution

The fourth proportional to 94,157.40, 141,220.50 and 30,978.30 is: 46,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,157.40 : 141,220.50 = 30,978.30 : x
  2. Step 2: Convert to fraction form
    94,157.40/141,220.50 = 30,978.30/x
  3. Step 3: Cross multiply
    94,157.40x = 141,220.50 × 30,978.30
  4. Step 4: Simplify right side
    94,157.40x = 4,374,771,015.15
  5. Step 5: Solve for x
    x = 4,374,771,015.15/94,157.40
  6. Step 6: Final answer
    x = 46,462.32

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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.